Question

the ratio of incomes of two persons is 9_7 and the ratio of their expenditures is 4_3 if each of them manges to save 2000 per manths find their monthly income​

Answer 1

Answer: 18000 and 14000

Step-by-step explanation:

The ratio of incomes of two persons is 9:7

∴ Let their incomes be 9x and 7x

The ratio of their expenses is 4:3

∴ Let their expenses be 4y and 3y

Each person saves 2000

savings = income - expenses

9x - 4y = 2000     ..... 1

7x - 3y = 2000     ..... 2

To use the method of elimination

equation 1 can be rewritten as 27x - 12y = 6000 by multiplying all the terms by 3

equation 2 can be rewritten as 28x - 12y = 8000 by multiplying all the terms by 4

Subtracting equation 1 from 2

(28x - 12y) - (27x - 12y) = 8000 - 6000

28x - 12y - 27x + 12y = 2000

x = 2000

Hence the income of the two persons = 9x = 9 X 2000 = 18000 and 7x = 7 X 2000 = 14000