# what is john’s present age, if after 10 years his age will be 5 times his age 5 years back.

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## What is John’s present age, if after 10 years his age will be 5 times his age 5 years back.

Answer with Explanation.SSC CPO Tier1 Quantitative Aptitude What is John’s present age, if after 10 years his age will be 5 times his age 5 years back. Let John’s present age be x John’s a

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What is John’s present age, if after 10 years his age will be 5 times his age 5 years back.

6.2years 7.7years 8.7years 10years Next Question

Father is four times the age of his daughter. If after 5 years, he would be threee times of daughter’s age, then further after 5 years, how many times he would be of his daughter’s age?

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## What is John’s present age, if after 10 years his age will be 5 times his age 5 years back?

Answer (1 of 3): Let us assume his present age to be x. Now, After ten years his age will be x+10 Before five years his age was x-5 Now, x+10=5(x-5) x+10=5x-25 x-5x=-25-10 -4.x=-35 x=35/4 x=8.75 His present age is 8.75 yrs or in other words 8 years 9 months. Hope this helps!!

What is John’s present age, if after 10 years his age will be 5 times his age 5 years back?

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Sort Intimate Friend Indian man 1y Related

What is John’s present age, if after 15 years his age will be 3 times his age 6 years back?

Let Present age = x

After 15 years age will be x+15 which is equal to 3*(x-6)

i.e. x+15=3x-18 15+18=3x-x=2x

33=2x; x=16.5 So Mr John’s present age is 16years & 6 months

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What is Amar’s present age, if after 10 years his age will be 10 times his age 10 years back?

Aryan Vatsal

NSO and IMO - Bronze MedallistAuthor has 124 answers and 52.4K answer viewsJan 31

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What is John’s present age, if 10 years later his age will be 5 times his age 6 years ago?

Let the present age of John be x years.

ATP, (x+10) = 5(x-6) => x + 10 = 5x - 30 => 40 = 4x => x = 10

Thus, the present age of John is 10 years.

Hope this answers your question. Good day to you.

Mauricio Orozco

Studied Engineering Design at Universidad Pontificia Bolivariana4y

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After 36 years, Rehan will be 5 times as old as he is now. What is his present age?

Let’s call the current age X, so, in 36 years it will be 5 times as it is now, which means:

x + 36 = 5x

If you put -x on both sides of the equation:

x + 36 - x = 5x - x 36 = 4x

And now dividing by 4 on both sides:

36/4 = 4x/4 Which means: 9 = x

So the answer is “Rehan’s current age is 9 years old”

Hope it helped :)

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Manjunath S K 3y Related

In 2 years, I will be twice the age I had 5 years ago. What is my age?

Let your present age be X

Ur age after 2 years = X+2

Therefore X+ 2 =( X-5)×2

X+2 = 2X - 10 X = 12 years Andrew Wilkins

I have a wife, she has a horse, I can grow a moustache Author has 2.4K answers and 1.4M answer views4y

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After 15 years, a man will be six times as old as he is now. What is his present age?

Enough people have already given the answer to this rudimentary algebra question.

Next time you get maths homework, do it yourself.

You are never going to pass an exam using Quora!

June L

just love math, just use CameraMathAuthor has 201 answers and 686.5K answer viewsJun 27

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One half my age is 10 years more than one third my age. How old am I?

let your age be x 1/2 x - 10 = 1/3x 1/2x - 1/3x = 10 1/6x = 10 x=60 I am 60 years old.

Welcome to join our space to share math problems:

Camera Math Rosé and June L are contributors

Gus Bates

Author has 149 answers and 45K answer viewsJan 2

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If the age of a man after 15 years will be 50 years, what was his age before 5 years?

Is this not a simple math question?

Unless this is some sort of trick question (poorly worded, I might add), then I’m sure the answer can probably be simply deduced.

And before I even bother with that, I’d like to point out that the answer to the question plus three dollars will get you a cup of coffee at your neighborhood Starbucks…………

Thanos Papangelis

CEO & Co-founder at Epignosis eLearning Solutions (2005–present)Updated 11mo

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Jeff Bensten

Construction InspectorAuthor has 202 answers and 820.4K answer views1y

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A man’s present age is eight times his son’s age. After two years, his age will be six times his son’s age. What are their present ages?

Man’s present age=8x

Son’s present age=x After 2 years…

Man’s age after 2 years: 8x+2

Here the question tells us that 6 times the son’s age is the father’s age.

So…

6(x+2) is the son’s age in 2 years.

## Problems on Ages in Competitive Exams [Tips and Tricks]

Problems on Ages in Competitive Exams, Solved Aptitude questions. How to solve age problems? How to calculate age in aptitude?

## Problems on Ages in Competitive Exams

Sonal Updated on Aug 13, 2022 6 minute read 9.8K views

Every year thousands of students appear for **competitive exams**. Be it for pursuing higher education abroad or to grab a government position in India, competitive exams are the entry gates to move further in your career. When it comes to gearing up for these exams, there is a common possibility that sometimes your preparation might not match the level of your performance. However, you should not let your efforts go in vain. If you are sincerely working to achieve your goal, all these are just mere obstacles that should barely affect you. If we take a look at any competitive exam, we always find that there is one ‘**quantitative and logical aptitude**’ section testing your logical ability to solve mathematical problems. Ever thought about how to ace this particular section? It’s quite easy if you have an idea about the different topics covered in this section. Few of the prominent questions are asked to solving problems on ages. So, here’s an insightful blog to provide you with the tips to easily crack such types of questions in a competitive exam.

**Also Read: Tips to Crack Competitive Exams**

### THIS BLOG INCLUDES:

How to Solve Problems on Ages?

Points to Remember

Sample Problems on Ages

Age Problem Questions

Best Books for Quantatitive Reasoning

## How to Solve Problems on Ages?

As **aptitude questions** on ages are frequently asked in almost every competitive exam, be it the **GMAT, GRE, SAT, CAT,** etc., applicants should definitely know how to solve these within minimum time.

To make this easier for you, let’s take a look at some of the basic mathematical concepts and tricks related to problems on ages:

If the present age of a person be X, then

Age after n years = X + n

Age n years ago = X – n

n times the present age = nX

If ages in the numerical are mentioned in the ratio A:B, then A:B will be AX and BX

If the sum of ages is X and Y and the ratio of their ages is p:q respectively, then you can determine the age of Y by using the formula shown below:

Age of Y = Ratio of Y/ Sum of ratios x sum of ages

Age of Y = q/ (p+q) x A

## Points to Remember

After reading the problems on ages, assume the unknown age to be some variable, let say ‘X’.

Convert the statements in the question into mathematical equations.

Calculate the variable by solving the equations and the obtained value must satisfy the conditions given in the problem.

**Also Read: Maths for Competitive Exams**

## Sample Problems on Ages

Questions on ages in a competitive exam are classified into four categories. Below are some examples to understand the concept explained above:

### Type 1 – Calculate the Present Age

**What is John’s present age, if 10 years later his age will be 5 times his age 6 years ago?**

16.2 years 7.7 years 8.7 years 10 years

**Correct option is 4**

Let John’s present age be X

John’s age 6 years ago = (X-6)

John’s age 10 years later = (X+10)

We are given that John’s age after 10 years (x + 10) is 5 times his age 5 years ago (x-6).

Therefore, (x +10) = 5 (x-6)

Solving the equation, we get

x + 10 = 5(x-6) x+10 = 5x – 30 4x = 40 x= 10

### Type 2 – Determine the Ages in Ratio Form

**One year ago, the ratio of Parul and Atima’s age was 5:6 respectively, after 4 years, the ratio becomes 6:7. Find the present age of Atima.**

25 years 26 years 31 years 35 years

**Correct option is 3**

**Hint:**If ages in the numerical are mentioned in ratio A: B, then we assume ages as Ax and Bx

We are given the age ratio of Parul and Atima = 5:6

One year ago, their age was 5x and 6x. Hence at present, Parul’s age = 5x+1 and Atima’s age = 6x+1

After 4 years, Parul’s age = (5x+1) + 4 = (5x + 5)

Atima’s age = (6x+1) + 4 = (6x + 5)

After 4 years, this ratio becomes 6:7

Therefore,

Parul’s age/6 = Atima’s age/7

(5x + 5) / (6x + 5) = 6/7

7 (5x + 5) = 6 (6x + 5)

35x + 35 = 36x + 30 36x – 35x = 35 – 30 X = 5

Parul’s present age = (6x+1) = (6×5+1) = 31 years

Atima’s present age = (5x+1) = 5×5+1) = 26 years

### Type 3 – Determine a Person’s Age Before x Years

**Shivani is 60 years old and Ritu is 80 years old. How many years ago their age ratio was 4:6?**

10 years 15 years 20 years 25 years

**Correct option is 3**

Let us assume x years ago

At present Shivani is 60 years old and Ritu is 80 years old.

X years ago : Shivani’s age = (60-x) and Ritu’s age (80-x)

Ratio of their ages x years ago was 4:6

(60-x) / (80-x) = 4/6

6 (60-x) = 4 (80-x) 360-6x = 320-4x 6x – 4x = 360 – 320 2x = 40 x = 20

Therefore, 20 years ago their age ratio was 4:6

## Age Problem Questions

Here are some same questions related to Problems on Age for you to practise and learn.

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