Question

The age of sona and sonali are in the ratio 5: 3. five years hence the ratio of their age will be 10: 7. find their present age.

Answer 1

Let the present age of Sona and Sonali be 5x and 3x

their ages 5 years hence => 5x+5

=> 3x+5

according to question ,

(5x+5)/(3x+5) = 10/7. (as 10:7 = 10/7)

7(5x+5) = 10(3x+5)

35x+35 = 30x+50

35x-30x = 50-35

5x = 15

x = 15/5 => 3

present age of Sona => 5x => 5×3 => 15yrs

present age of Sonali => 3x => 3×3 => 9yrs

hope this helps

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