Question

Father's age is three times the sum of ages of his two sons. After 5 years, his age will be twice the sum of ages of his two sons. The age of father is :
(a)45 years
(b)30 years
(c)15 years
(d)5 years

Answer 1

Answer:

45

Step-by-step explanation:

Let the age of father =x years

The sum of the age of 2 children =y years

According to the first condition

⇒x=3y

After 5 years

⇒ Father's age =x+5

⇒ The sum of ages of his two children =y+10

According to the second condition

⇒x+5=2(y+10)⇒x+5=2y+20

⇒x−2y=15

⇒3y−2y=15⇒y=15

Put y=15

⇒x=3×15⇒x=45

Hence, father age =45 years