The monthly incomes of A and B are in the ratio of 7:5 and their expenditures are in the ratio - Maths - Simultaneous Linear Equations

Question

The monthly incomes of A and B are in the ratio of 7:5 and their
expenditures are in the ratio of 3:2 If each saves 1500 RS per
month, find their monthly incomes

Josepaul Paulachan · Accepted Answer

Dear StudentIncome ratio 7:5let income of A =  7x income of B = 5x  expenditure ratio is 3:2 let expenditure of A = 3y expenditure of B is 2y  saving of A will be 7x-3y =1500
(i) saving of B will be 5x-2y =1500 
(ii)(solving equations i and ii by substracting   ) we will get  (35x-15y -7500)-( 35x-14y -10500 )  y=3000 y =3000 y =3000 in 7x-3y =15007x-9000 =1500x = 1500income of A =7x=10500income of B =5x = 7500 Regards

The monthly incomes of A and B are in the ratio of 7:5 and their expenditures are in the ratio of 3:2. If each saves 1500 RS. per month, find their monthly incomes.