Question

The age of son 40 years less then his father. After 10 years father is age 3 time his son's age. What is his father's present age?​

Answer 1

Answer:

Present age of father,

Age = 50

refer to the attachment

Answer 2

Required Answer :

Present age of father = 50 years

Given :

• The age of son is 40 years less than his father
• Father's age will be 3 times of his son's age after 10 years

To find :

• The present age of father

Solution :

Let,

⇒ The present age of father = x years

⇒ The present age son = Father's age - 40

⇒ The present age son = x - 40 years

Their ages after 10 years :

⇒ Age of father = x + 10 years

⇒ Age of son = x - 40 + 10

⇒ Age of son = x - 30 years

According to the question,

⇒ Father's age = 3(Son's age)

⇒ x + 10 = 3(x - 30)

⇒ x + 10 = 3x - 90

⇒ x - 3x = - 90 - 10

⇒ - 2x = - 100

⇒ 2x = 100

⇒ x = 100/2

⇒ x = 50

Substitute the value of 'x' in the assumed age of father :

⇒ Present age of father = x

⇒ Present age of father = 50 years