Question

Monthly incomes of two persons are in the ration 4:5 and their monthly expenses are in the ratio 7:9. If each saves Rs.50 per month, find their monthly incomes.

Answer 1

Answer:

let their incomes be 4x and 5x

let their expenses be 7y and 9y

according to question;

4x-7y=50(equation1)

5x-9y=50(equation 2)

therefore,

[4x-7y=50]*5

[5x-9y=50]*4

on solving the above equation we get,

y=50

x=100

therefore, their incomes are 400 and 500