Question

The ages of Sona and Sonali are in the ratio 5: 3. Five years hence, the ratio of their
ages will be 10:7. Find their present ages.​

Answer 1

Answer:

15 and 9 years respectively

Step-by-step explanation:

Let their ages be 5x and 3x respectively.

From the question,

 

$\frac{5x+5}{3x+5} = \frac{10}{7}\\\\7(5x+5)=10(3x+5)\\35x+35=30x+50\\35x-30x=50-35\\5x=15\\x=15/5=3$

              So their present ages will be 15 and 9 years respectively.