The ratio of monthly incomes of Adam and Rosy is 9:7 and the ratio of their savings is 3:1. If both of them spend ₹12000 per month, find their monthly incomes.

Solution :

Let, income and saving of Adam is 9x and 3y.

Similarly income and saving of Rosy is 7x and y.

We know,

Income = Saving + Expense

Now, it is given that their expense is same and it is ₹12000  per month.

For Adam, 9x = 3y + 12000   ...1)

3x = y + 4000

For Rosy, 7x = y + 12000

21x = 3y + 36000   ...2)

Subtracting 1) from equation 2), we get :

12x = 24000

x = ₹2000

Therefore, monthly incomes of Adam and Rosy is ₹18000 and ₹14000 respectively.

the equation is going to be