Question

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

Answer 1

Step-by-step explanation:

Let, the age of nuri be x

And, the age of Sonu be y

Five years ago

Ages were

Nuri = x-5

Sonu = y-5

According to the question

x - 5 = 3(y - 5)

x - 5 = 3y - 15

x - 3y + 10 = 0 ... (i)

Ten years later

Ages will

Nuri = x + 10

Sonu = y + 10

According to the question

x + 10 = 2(y + 10)

x + 10 = 2y + 20

x + 2y - 10 = 0 ...(ii)

By elimination method

Eliminate x by subtracting both the equations

(x - 3y = - 10) - (x + 2y = 10)

-5y = - 20

y = 4 ... (iii)

Putting iii in ii

X = 2

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