word problems

The ratio of the incomes of two persons is 9:7 and the ratio of their expenditures is 4:3 . If each of them saves Rs.200/- per month, find their monthly incomes.

let their monthly incomes be 9x and 7x respectively
let their monthly expenditures be 4y and 3y respectively

therefore ( income - expenditure = saving )

9x - 4y = 200 -------------(i)
7x - 3y = 200 -------------(ii)

solving
(eliminating y)

27x -12y = 600 --------------(i)*3
28x -12y = 800 --------------(ii)*4

subtracting x = 200


monthly incomes be 9x and 7x respectively

therefore monthly incomes be 9*200 and 7*200 respectively
monthly incomes be 1800 and 1400 respectively
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