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# Form the pair of linear equations in the following problems, and find their solutions (if they exist) by the elimination method Five years ago, Nuri was thrice as old as Sonu. Ten years later, Nuri will be twice as old as Sonu. How old are Nuri and Sonu - CBSE Class 10 - Mathematics

ConceptAlgebraic Methods of Solving a Pair of Linear Equations Elimination Method

#### Question

Form the pair of linear equations in the following problems, and find their solutions (if they exist) by the elimination method

Five years ago, Nuri was thrice as old as Sonu. Ten years later, Nuri will be twice as old as Sonu. How old are Nuri and Sonu

#### Solution

Let present age of Nuri = x

and present age of Sonu = y

According to the given information,question,(x - 5) = 3(y - 5)

x - 3y = -10 ... (i)

(x + 10y) = 2(y + 10)

x - 2y = 10 ... (ii)

Subtracting equation (i) from equation (ii), we get

y = 20 ... (iii)

Putting this value in equation (i), we get

x - 60 = -10

x = 50

Hence, age of Nuri = 50 years and age of Sonu = 20 years.

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. 3.40 | Q: 2.2 | Page no. 57

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Solution Form the pair of linear equations in the following problems, and find their solutions (if they exist) by the elimination method Five years ago, Nuri was thrice as old as Sonu. Ten years later, Nuri will be twice as old as Sonu. How old are Nuri and Sonu Concept: Algebraic Methods of Solving a Pair of Linear Equations - Elimination Method.
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