Question

The ages of sonu and Monu are in the ratio of 5:7 .if sonu were 9 years older and Monu 9 years younger,the age of Sonu would have been twice the age of Monu.find their ages​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

Ratio of their ages = 5:7

So, Sonu's age is 5x and Monu's age is 7x

Sonu's age if he were 9 years older = 5x + 9

Monu's age if he were 9 years younger = 7x - 9

If Sonu's age will be 2 times more than Monu's(in this case), then:

Sonu's age + 9 = 2 times (Monu's age - 9)

Eqution:

5x + 9 = 2(7x - 9)

5x +9 = 14x - 18

9 + 18 = 14x - 5x

27 = 9x

27/9 = x

x = 3

So, Monu's age = 7x

                          = 7 X 3

                          = 21

And, Sonu's age = 5x

                            = 5 X 3

                            = 15

Cross check:

15 + 9 = 24

21 - 9 = 12

(24 is 2 X 12)