Question

the monthly income of a and b are in the ratio of 5 : 4 and monthly expenditure are in the ratio of 7 : 5 if each saves 3000 per month find the monthly income of each​

Answer 1

Answer:

let the income of a and b be x

let the expenditure be y

5x+7y=3000------(I)

4x+5y=3000------(II)

multiply equation (I) by 4 and (II) by 5

(5x+7y=3000)*4

(4x+5y=3000)*5

20x+28y=12000

20x+25y=15000

(-) (-) (-)

3y=-3000

y=-3000/3

y=-1000

keeping value of y in equation (I) and (II) we get

Income of a as 2000 and of b as 2000