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# Form the pair of linear equations for the following problems and find their solution by substitution method The difference between two numbers is 26 and one number is three times the other. Find them. - CBSE Class 10 - Mathematics

ConceptAlgebraic Methods of Solving a Pair of Linear Equations Substitution Method

#### Question

Form the pair of linear equations for the following problems and find their solution by substitution method

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

#### Solution

Let larger number = x

Smaller number = y

The difference between two numbers is 26

x – y = 26

x = 26 + y

Given that one number is three times the other

So x = 3y

Putting the value of x we get

26y = 3y

-2y = - 2 6

y = 13

So value of x = 3y

Putting value of y, we get

x = 3 × 13 = 39

Hence the numbers are 13 and 39.

Is there an error in this question or solution?

#### APPEARS IN

NCERT Solution for Mathematics Textbook for Class 10 (2019 to Current)
Chapter 3: Pair of Linear Equations in Two Variables
Ex. 3.30 | Q: 3.1 | Page no. 53

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Solution Form the pair of linear equations for the following problems and find their solution by substitution method The difference between two numbers is 26 and one number is three times the other. Find them. Concept: Algebraic Methods of Solving a Pair of Linear Equations - Substitution Method.
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