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:The weekly savings of first person = $900The weekly savings of second person = $700.Step-by-step explanation:Let us assume the income of first person = $ mNow, as the difference in the income is $200.⇒ And the income of first person  -  income of first person =  $200 ⇒ Income of second person    =    m -  $200So, according to the question:Ratio of   Income of First person : Second Person's Income  =  9: 7or, 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 = $900Hence, the weekly savings of first person = $900and the weekly savings of second person = m - 200 = $900 - 200 = $700.