Question

Five years ago, gouri was thrice as old as ganesh.ten years later gouri will be twice as old as ganesh. How old are gouri and ganesh

Answer 1

let the age of gouri be x and Ganesh be y
a/q
(x-5) = 3(y-5) => x-5 = 3y - 15 = x - 3y = -10. (1)

x+10 = 2(y+10) => x +10 = 2y + 20 = x-2y= 10 (2)
On (1)-(2) , we get

x - 3y = -10
x - 2y = 10
- + -
-y = -20 => y = 20
putting the value of y in (2)
x-2(20)= 10
x-40 = 10
x = 50
therefore the age of gouri = x = 50 years.
the age of Ganesh = y = 20 years.

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