Question

the ratio of incomes of two people is 9:7 and the ratio of their expenditures is 4:3. if each of them save Rs 2000 per month, find their monthly income

Answer 1

Here is your solutions

Given :-

Ratio of their incomes is 9:7 and expenditure is 4:3 .

let their incomes be 9xand 3y

Expenditures be 7x and 3y

first person savings:-

9x-4y=2000......................(1)

second person saving :-

savings=7x-3y=2000.....................(2)

from 1and 2 equations we get

x=2000 and y=4000

income of first person=18000

income of second person=14000

Hope it helps you

Answer 2

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Thanks!!!!

9X-4Y=2000 (1)
7X-3Y=2000 (2)

SUBSTITUTION METHOD
9X-4Y=2000
X=2000+4Y/9 (apply X in equation (2) )

7X-3Y=2000
7(2000+4Y/9)-3Y=2000

14000+28Y-27Y=18000

Y=18000-14000= 4000 therefore, (Y=4000)

substitute Y in equation (1)
9X-4y=2000
9X-4(4000)= 2000
9X-16000=2000
9X=2000+16000= 18000
X=18000/9= 2000 therefore, (X=2000)


MONTHLY INCOME -
first person- 9(2000) = 18000
second person - 7(2000) = 14000