Question

The ratio of income of a and b is 2:1 the ratio of tgeir expenditures is 3:1 and each saves 2000 find the income of a and b

Answer 1

let common multiple be x
so, their incomes are 2x and 1x

and let their so expenditure be y
so, their expenditure are 3y and 1y

so according to condition
2x-3y=2000.....1
1x-1y=2000.....2

multiply 2 eqn by 2
so 2x-2y=4000.....3
so sub eqn 1 from 3

so we got ans
y= 2000

put value of y in eqn 1

so 2x-3×2000=2000
2x-6000=2000
2x=12000

x = 6000