# a fraction becomes 1/3 when 2 is subtracted from the numerator and it becomes 1/4

### Mohammed

Guys, does anyone know the answer?

get a fraction becomes 1/3 when 2 is subtracted from the numerator and it becomes 1/4 from screen.

## A fraction becomes 13 when 2 is subtracted from the numerator and it becomes 12 when 1 is subtracted from the denominator. Find the fraction.

Click here👆to get an answer to your question ✍️ A fraction becomes 13 when 2 is subtracted from the numerator and it becomes 12 when 1 is subtracted from the denominator. Find the fraction.

A fraction becomesQuestion 3 1

when 2 is subtracted from the numerator and it becomes

2 1

when 1 is subtracted from the denominator. Find the fraction.

Let the fraction beEasy Open in App Solution Verified by Toppr y x

From the given conditions

y x−2 = 3 1 ⟹y=3x−6⋯(1) y−1 x = 2 1 ⟹y=2x+1⋯(2) From (1)&(2)

2x+1=3x−6⟹x=7⟹y=3(7)−6=15

So the fraction is 15 7

Was this answer helpful?

202 23

## A Fraction Becomes 1 3 When 2 is Subtracted from the Numerator and It Becomes 1 2 When 1 is Subtracted from the Denominator. Find the Fraction.

A Fraction Becomes 1 3 When 2 is Subtracted from the Numerator and It Becomes 1 2 When 1 is Subtracted from the Denominator. Find the Fraction.

Advertisement Remove all ads Sum A fraction becomes 13

when 2 is subtracted from the numerator and it becomes

12

when 1 is subtracted from the denominator. Find the fraction.

Advertisement Remove all ads

### SOLUTION

Let's assume the fraction be

x y xy

**1st condition:**

x y x-2y=13 ⇒ xy 3x -6=y ⇒ xy 3x-y=6 ...(1)

**2nd condition:**

x y xy-1=12 ⇒ xy 2x-y-1 ⇒ xy 2x-y=-1

**Using elimination method:**

Multiplying (2) by -1 and then adding (1) and (2)

⇒ xy 3x-y=6 ⇒ xy -2x+y=1 ⇒ x x=7 Now, from (1) ⇒ xy 3x-y=6 ⇒ y 3(7)-y=6 ⇒ y 21-y=6 ⇒ y y=15

Hence, the required fraction is

715

Concept: Algebraic Methods of Solving a Pair of Linear Equations - Elimination Method

Is there an error in this question or solution?

2018-2019 (March) Delhi Set 2

Q 21.2 Q 21.1 Q 22.1

### APPEARS IN

2018-2019 (March) Delhi Set 2 (with solutions)

Q 21.2 | 3 marks

2018-2019 (March) 30/1/3 (with solutions)

VIDEO TUTORIALSVIEW ALL [2] view

Video Tutorials For All Subjects

Algebraic Methods of Solving a Pair of Linear Equations - Elimination Method

video tutorial 00:30:43

Algebraic Methods of Solving a Pair of Linear Equations - Elimination Method

video tutorial 00:27:05

## A fraction becomes 1 / 3 when 2 is subtracted from the numerator and it becomes 1 / 2 when 1 is subtracted from the denominator. Find the fraction.

A fraction becomes 1 / 3 when 2 is subtracted from the numerator and it becomes 1 / 2 when 1 is subtracted from the denominator. Find the fraction.

Byju's Answer Standard X Mathematics

Elimination Method of Finding Solution of a Pair of Linear Equations

A fraction be... Question

A fraction becomes 1/3 when 2 is subtracted from the numerator and it becomes 1/2 when 1 is subtracted from the denominator. Find the fraction.

Open in App Solution

Let the numerator of the fraction be x and the denominator be y.

According to the question,

x-2y=13...(i) andxy-1=12...(ii)

Solvingequationi,weget

3x-2=y ⇒3x-6=y...iii

Substitutingthevalueofyinequationii,weget

x3x-6-1=12 ⇒2x=3x-6-1 ⇒2x=3x-7 ⇒2x-3x=-7 ⇒-x=-7 ⇒x=7...(iv)

From(iii)and(iv),weget

x=7andy=15

Hence,thefractionis715.

Suggest Corrections 92

SIMILAR QUESTIONS

**Q.**

A fraction becomes 1 3 when 1

is subtracted from the numerator and it becomes

1 4 when 8

is added to its denominator. Find the fraction.

**Q.**A fraction becomes

13

when 2 is subtracted from the numerator and it becomes

12

when 1 is subtracted from the denominator. Find the fraction.

**Q.**A fraction becomes 1/3 if 1 is subtracted from both its numerator and denominator. It 1 is added to both the numerator and denominator, it becomes 1/2. Find the fraction.

**Q.**Find a fraction which becomes

12

when 1 is subtracted from the numerator and 2 is added to the denominator, and the fraction becomes

13

when 7 is subtracted from the numerator and 2 is subtracted from the denominator.

**Q.**A fraction becomes

2 when 1

is added to both the numerator and the denominator. It becomes

3 when 1

is subtracted from both the numerator and the denominator. The numerator of the given fraction is

View More RELATED VIDEOS

Algebraic Solution MATHEMATICS Watch in App EXPLORE MORE

Elimination Method of Finding Solution of a Pair of Linear Equations

Standard X Mathematics

Guys, does anyone know the answer?