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

Let the diving factor be x:
so the age of Sonu will be 5x and Monu's will be 7x

Sonu's age 9 years older will be 5x-9
Monu's age 9 years younger will be 7x-9

Sonu's age will be twice that of Monu, that means Monu's age times 2 will be equal to Sonu's age.

that means 5x-9=2(7x-9)

5x-9=14x-18
14x-5x=18-9
9x=9
 x=1

Sonu's age (5x) therefore is 5(1)= 5 years
Monu's age (7x) therefore is 7(1)= 7 years

Answer 2

Step-by-step explanation:

sonu=5x

monu=7x

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

5x+9=14x-18

18-9=14x-5x

9=9x

x=9

9

x=1

5x=5×1=5

7x=7×1=7