Question

wars now one-third the age of his father. Twelve years hence he will be half
te te of his father Determine the present age of Ankur and that of his father.​

Answer 1

Correct Question:-

Ankur was now one - third the age of his father. Twelve years hence he will be half the age of his father. Determine the present ages of Ankur and his father.

Answer:-

Let present age of Ankur's father be x years and Present age of Ankur be y years.

Given:

Ankur is one - third of age of his father.

⟶ y = x/3 -- equation (1)

Also given that,

He will be half the age of his father after 12 years.

• Ankur's age after 12 years = y + 12 years

• Ankur's father's age after 12 years = x + 12 years.

According to the question,

⟶ y + 12 = 1/2 ( x + 12)

⟶ y + 12 = x/2 + 6

Substitute the value of y from equation (1)

⟶ x/3 + 12 = x/2 + 6

⟶ x/3 - x/2 = 6 - 12

⟶ (2x - 3x)/6 = - 6

⟶ - x = ( - 6)(6)

⟶ X = 36 years

Substitute the value of x in equation (1).

⟶ y = x/3

⟶ y = 36/3

⟶ y = 12 years

∴

• Present age of Ankur is 12 years.

• Present age of Ankur's father is 36 years.

Answer 2

Answer:

✯ Question :-

• Ankur now one-third the age of his father. Twelve years hence he will be half of his father. Determine the present age of Ankur and that of his father.

✯ Given :-

• Ankur now one-third the age of his father.
• Twelve years hence he will be half of his father.

✯ To Find :-

• What is the present age of Ankur and that of his father.

✯ Solution :-

» Let, the present age of Ankur be x years

» And, present age of his father 3x

» Twelve years hence, their age will be (x+12) and (3x+12) respectively.

➣ According to the question,

⇒ $\dfrac{(x + 12)}{(3x + 12)}$ = $\dfrac{1}{2}$

⇒ 2x + 24 = 3x + 12

⇒ 2x - 3x = 12 - 24

⇒ - x = - 12

➥ x = 12 years

✶ Hence,

◩ The present age of Ankur = 12 years

◩ The present age of his father = 3x = 3(12) = 36 years

$\therefore$ The present age of Ankur is 12 years and his father age will be 36 years.