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# the difference between two numbers is 26 and one number is three times the other. find them.

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## The difference between two numbers is 26 and one number is three times the other. Find the numbers. [3 MARKS]

The difference between two numbers is 26 and one number is three times the other. Find the numbers. [3 MARKS] Properties of Inequalities

The differenc... Question

The difference between two numbers is 26 and one number is three times the other. Find the numbers. [3 MARKS]

Open in App Solution Concept : 1 Mark

Application : 1 Mark

Calculation : 1 Mark

Let the numbers be x and y .

According to given condition,

x = 3 y … … ( i ) x − y = 26 … … ( i i )

On solving (i) and (ii) we get,

x = 3 y [From (i)]

Substituting value of x in (ii)

3 y − y = 26 y = 13 Now, x = 3 y x = 3 ( 13 ) ⇒ x = 39 ∴ y = 13 , x = 39 ∴

The required numbers are 13 and 39.

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The difference between two numbers is 26 and one number is three times the other. Find the numbers. [3 MARKS]

Q. The difference between two numbers is 26 and one number is three times the other. Find the numbers.Q. The difference between two numbers is

26

and one number is three times the other. Find the sum of these numbers.

Q. The difference between two whole numbers is

26

and one number is three times the other. Find the numbers.

Q.

Express as a pair of linear equations:

The difference between two numbers is 26 and one number is three times the other. (Select all the correct options)

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## The difference between two numbers is 26 and one number is three times the other Find x and y...

Free solutions for NCERT Solutions - Mathematics , Class 10 Chapter 4 - Pair of Linear Equations in Two Variables Pair of Linear Equations in Two Variables - Exercise 3.3 question 2. These explanations are written by Lido teacher so that you easily understand even the most difficult concepts ## NCERT Solutions Class 10 Mathematics Solutions for Pair of Linear Equations in Two Variables - Exercise 3.3 in Chapter 3 - Pair of Linear Equations in Two Variables

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The difference between two numbers is 26 and one number is three times the other. Find x and y.

Let the two numbers be x and y respectively, such that y > x.

According to the question,

y = 3x ……………… (1)

y – x = 26 …………..(2)

Substituting the value of (1) into (2), we get

3x – x = 26 x = 13 ……………. (3)

Substituting (3) in (1), we get y = 39

Hence, the numbers are 13 and 39.

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## The difference between two numbers is 26 and one number is three times the other. Find the sum of these numbers.

Click here👆to get an answer to your question ✍️ The difference between two numbers is 26 and one number is three times the other. Find the sum of these numbers. Question

## The difference between two numbers is 26 and one number is three times the other. Find the sum of these numbers.

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Correct option is A)

Let two numbers be x & y

x−y=26 ____ (1) x=3y ____ (2)

substituting (2) in (1) we get

3y−y−26 2y=26 y=13 x=3y from (2) x=3×13 x=39

we need to find sum of two numbers

x+y=39+13 =52