Sum of the ages of a father and the son is 40 years. If father's age i

1.	Sum of the ages of a father and the son is 40 years. If father's age is three times that of his son, then find their respective ages.
Answer» Let age of father and son be x and y respectively. x + y = 40 ...(i) x = 3y ...(ii) By solving eqns. (i) and (ii), we get x = 30 and y = 10 Ages are 30 years and 10 years respectively. Detailed Answer : Let age of father and son be x and y years respectively. x + y = 40 ...(i) x = 3y ...(ii) Substitute the value of x from eqn. (ii) in, (i) 3y + y = 40 ⇒ 4y = 40 y = 10 yrs. From (i), x + 10 = 40 x = 30 yrs. Age of father is 30 years and age of son is 10 years.

Sum of the ages of a father and the son is 40 years. If father's age is three times that of his son, then find their respective ages.

Answer»

Let age of father and son be x and y respectively.

x + y = 40 ...(i)

x = 3y ...(ii)

By solving eqns. (i) and (ii), we get

x = 30 and y = 10

Ages are 30 years and 10 years respectively.

Detailed Answer :

Let age of father and son be x and y years respectively.

x + y = 40 ...(i)

x = 3y ...(ii)

Substitute the value of x from eqn. (ii) in, (i)

3y + y = 40

⇒ 4y = 40

y = 10 yrs.

From (i), x + 10 = 40

x = 30 yrs.

Age of father is 30 years and age of son is 10 years.

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Sum of the ages of a father and the son is 40 years. If father's age is three times that of his son, then find their respective ages.

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