Question

Natu and buchku each have certain number of oranges. natu says to buchku,"if you give me 10 of your oranges, i will have twice the number of oranges left with you". buchku replies,"if you give me 10 of your oranges, i will have the same number of oranges as left with you". what is the number of oranges with natu and buchku, respectively?

Answer 1

Let natu have x no. of oranges and buchku have y no. of oranges then,
x+10=2(y-10)
x-2y=-30........(1)
And, y+10=x-10
x-y=20........(2)
on solving equation 1 and 2 we get
x=70 and y=50