Question

The ratio of incomes of two persons is 9:7. The difference in their weekly incomes is $200. What are their weekly incomes?

What’s the answer

Answer 1

The weekly savings of first person = $900

The weekly savings of second person = $700.

Explanation:

Let us assume the income of first person = $ m

Now, as the difference in the income is $200.

⇒ And the income of first person - income of first person = $200

⇒ Income of second person = m - $200

So, according to the question:

Ratio of Income of First person : Second Person's Income = 9: 7

or, m : ( m - 200) = 9: 7

`\implies  (m)/(m - 200 )  = (9)/(7)`

`7 * m = (m - 200) * 9\\\implies 7 m = 9m - 1800\\\implies 7m - 9m = -1800\\\implies -2m = -1800\\m = (1800)/(2)   = 900`

or,m = $900

Hence, the weekly savings of first person = $900

and the weekly savings of second person = m - 200 = $900 - 200 = $700.