Question

A father is 30 years older than his son.
He will be three times as old as his son after 5 years.
What is the father's present age?
a) 35 years b) 45 years c) 40 years d) 30 years

please give explanation​

Answer 1

Answer:

40

Step-by-step explanation:

let current age of sun is X and father age is X+30

after 5year

3(X+5)=X+30+5

3x+15=35

2x=20

X=10

so present age of his father is X+30 that is 40

Answer 2

Answer :

Option c) 40 years

The present age of the father is 40 years.

Step-by-step explanation:

Given :

Father is = 30 years older than his son

After 5 years = Father will be three times the age of his son

To find :

Father's present age

Solution :

Let the present ages be -

• Son as y
• Father as (30 + y)

Ages after 5 years -

• Son = (y + 5)
• Father = (30 + y) + 5

⇒ 3(y + 5) = (30 + y) + 5

⇒ 3y + 15 = 30 + y + 5

⇒ 3y + 15 = 35 + y

⇒ 3y - y = 35 - 15

⇒ 2y = 20

⇒ y = 20/2

⇒ y = 10

Son's present age = 10 years

$\rule{300}{1.5}$

★ Value of (30 + y)

⇒ 30 + 10

⇒ 40

Father's present age = 40 years

$\therefore$ The present age of the father is 40 years.