Question

The ages of a brother and sister are in the ratio 7:5 Afer 10 years, the ratio of their ages will be 9:7. Find their present ages . ​

Answer 1

Answer:

age of brother is 35 years

age of sister is 25 years

Answer 2

Answer:

The present age of brother and sister are 35 and 25 respectively..

Step-by-step explanation:

Given The present ages of a brother and sister are in the ratio 7:5

Let the age of brother and sister be 7x and 5x.

After ten years brother's age=7x+10

After ten years sister's age=5x+10

The ratio of their ages after 10 years=9:7

$\frac{7x+10}{5x+10} =\frac{9}{7}\\\\49x+70=45x+90\\49x-45x=90-70\\4x=20\\x=5$

The present age of brother=7(5)=35

The present age of sister=5(5)=25