the monthly incomes of a and b are in the ratio 5:4 and their expenditure is in 7:5 if each saves 3000 per month find their monthly income
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let's assume, the income is 5x & 4x, the expenditure is 7y, 5y
now, 5x-7y = 4x-5y=3000
5x-7y=4x-5y
x-2y=0
y=x/2
now, put the value of y in any one equation
4x-5y=3000
4x-5x/2=3000
[multiply both sides with 2]
8x-5x=6000
x=3000
therefore their monthly income is 5x=5*3000=15000
4x=4*3000=12000
now, 5x-7y = 4x-5y=3000
5x-7y=4x-5y
x-2y=0
y=x/2
now, put the value of y in any one equation
4x-5y=3000
4x-5x/2=3000
[multiply both sides with 2]
8x-5x=6000
x=3000
therefore their monthly income is 5x=5*3000=15000
4x=4*3000=12000
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