Question

The present age of jack's mother is three times of jack's present age. After 5 years, their ages will add up to 66 years. What is jack's present age?

Answer 1

Answer:

Jack's present age is 14 years

Step-by-step explanation:

Let present age of Jack's mother is x years and that of Jack's is y years.

Given,

x = 3y ..... (1)

After 5 years, Jack's mother will be (x + 5) years old and Jack will be of (y + 5) years.

Given,

x + 5 + y + 5 = 66

or, x + y + 10 = 66

or, x + y = 66 - 10

or, x + y = 56

or, 3y + y = 56

or, 4y = 56

or, y = 56 / 4

or, y = 14

Then x = 3 * 14 = 42

Therefore Jack's present age is 14 years.

Answer 2

Answer :

Jack's present age is 15 years.

Step-by-step explanation :

Given Information :

The present age of jack's mother is three times of jack's present age.

After 5 years, their ages will add up to 66 years.

To Find :

The present age of Jack.

Solution :

Consider the -

Jack's mother as - a Years.

Jack's age as - b Years.

A/Q

⇒ a = 3b ....Eq(1)

After 5 years,

Jack's mother will be -

⇒ (a + 5) years old.

Jack will be -

⇒ (b + 5) years.

Values in Equation,

⇒ a + 5 + b + 5 = 66

⇒ a + b + 10 = 66

⇒ a + b = 66 - 10

⇒ a + b = 56

⇒ 3b + b = 56

⇒ 4b = 56

⇒ b = $\dfrac{56}{4}$

⇒ b = 15

∴ a = 3 × 15 = 45.

∴ Jack's present age is 15 years.