Question

Raman's age is three times the sum of the ages of his two sons.After 5years his age will be twice the sum of the ages of his two sons.Find the age of Raman.

Answer 1

Answer:

Step-by-step explanation:

Let's raman age = a and sum of sons age =b

a=3b

a+5=2 (b+10) [+ 10 because there are two sons]

a+5=2b+20

a=3b

3b+5=2b+20

b=15

a=3b

a=15×3

a=45

Raman age = 45

Answer 2

Let the age of Raman be x

Let the age of his two sons be y

x=3(y+y)

x=3×2y

x=6y----------(1)

5years after

x+5=2(y+5+y+5)

x+5=2(2y+10)

x+5=4y+20-----------(2)

substitute(1) in (2)

6y+5=4y+20

2y=15

y=15/2

substitute y in (1)

x=6×15/2

x=45

therefore the age of Raman is 45 years.

Hope it helps