Question

present ages of anu and raj are in the ratio 4:5 eight years from now the ratio of their age will be 5:6 find their present ages

Answer 1

present age be 32 and 40

Answer 2

let present age of anu = X and raj's = Y
according to question, present ratio anu and raj= X/Y=4/5
5x= 4y
5x-4y =0...........(1)
after 8 year the ratio of anu and raj =(X+8)/(Y+8)=5/6
6(x+8)=5(y+8)
6x+48=5y+40
6x-5y= -8...........(2)
eqn(1)×5-eqn(2)×4
25x-20y=0
(-1)(24x-20y)=(-32)(-1)
-24x+20y=32
solving that we fond
x=32 & y = 40
present age of anu = x= 32 & Raj's = Y=40