Question

4. The age of father is double to the age of his
son. The age of father was 12 times to the age
of his son before 20 Years. Find the present age
of father.​

Answer 1

Answer:

The age of father is double to the age of his

son. The age of father was 12 times to the age

of his son before 20 Years. Find the present age

of father.

Answer 2

ANSWER :

• If the age of father is double to the age of his son and the age of father was 12 times to the age of his son before 20 years; then the present age of the father is 44 years.

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SOLUTION :

❒ Given :-

• Age of the father is double to the age of his son.

• The age of father was 12 times to the age
• of his son before 20 years.

❒ To Find :-

• Present age of father = ?

❒ Calculation :-

Suppose,

• Present age of the son = x years

✎ According to first condition,

• ❍ Present age of the father = 2x years

20 years ago,

• Age of the son was = (x - 20) years

• Age of the father was = (2x - 20) years

✎ According to second condition,

• ❍ 12 (x - 20) = 2x - 20

⇒ 12x - 240 = 2x - 20

⇒ 12x - 2x = - 20 + 240

⇒ 10x = 220

⇒ x = $\sf{\dfrac{220}{10}}$

➨ x = 22

✎ Substituting the value of x, we get,

• ❍ Present age of the father = 2x years

⇒ Present age of the father = (2 × 22) years

∴ Present age of the father = 44 years ★