Q2.    Form the pair of linear equations in the following problems, and find their solutions (if they exist) by the elimination method :

                (ii) 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?

Answers (1)
P Pankaj Sanodiya

Let the age of Nuri be x and age of Sonu be y.

Now, According to  the question 

x-5=3(y-5)

\Rightarrow x-5=3y-15

\Rightarrow x-3y=-10.........(1)

Also,

x+10=2 (y+10)

\Rightarrow x+10=2y+20

\Rightarrow x-2y=10........(2)

Now, Subtracting (1)  from (2), we get 

y=20

putting this value in (2)

x-2(20)=10

\Rightarrow x=50

Hence the age of Nuri is 50 and age of Nuri is 20.

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