Question

If the difference between the age of P and Q is 4 years and the ratio between the age of P after 2 years to the present age of Q is 5:4 then find age of Q after 2 years?

Answer 1

Step-by-step explanation:

Let, the present age of P be x

the present age of Q be y

Given, (x+2):y=5:4

5y=4(x+2)

5y=4x+8

5y-4x-8=0. -------- 1

Also,

x-y=4.

-y+x=4 ---------2

Eqn 2*-5

5y-5x=-20. ----------3

1-3,

5y-4x-8=0

5y-5x+0=-20

---------------------

x-8=20

x=28

y=x-4=28-4=24

Therefore, P's age is 28 and Q's age is 24