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

Respuesta :

Answer:

The weekly savings of first person = $900

The weekly savings of second person = $700.

Step-by-step 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  

[tex]\implies  \frac{m}{m - 200 }  = \frac{9}{7}[/tex]

[tex]7 \times m = (m - 200) \times 9\\\implies 7 m = 9m - 1800\\\implies 7m - 9m = -1800\\\implies -2m = -1800\\m = \frac{1800}{2}   = 900[/tex]

or,m = $900

Hence, the weekly savings of first person = $900

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