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

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Question

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

Numerical
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Solution

Given: Let the two numbers be x and y, with x > y.

It is given that x – y = 26 and x = 3y.

Substitute x = 3y into x – y = 26:

3y – y = 26

2y = 26

`y = 26/2`

y = 13

Then x = 3y

= 3 × 13

= 39

The two numbers are 39 and 13.

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Chapter 3: Linear Equations in Two Variables - TEST YOURSELF [Page 170]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 3 Linear Equations in Two Variables
TEST YOURSELF | Q 10. | Page 170
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