Question

a father is four times as old as his son after 5 years he will be three times as old as his son than what the their present age
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Answer 1

AnswEr:

• Present age of father and his son is 40 years and 10 years respectively.

GivEn:

• A father is four times as old as his son.
• After 5 years, father will be three times as old as his son.

To find:

• Present age of Father and his son?

Solution:

☯ Let Present age of son be x years.

Given that,

• Father is four times as old as his son.

Therefore, Present age of Father is 4x years.

Now,

★ According to the Question:

• After 5 years, father will be three times as old as his son.

So,

Their ages after 5 years,

• Age of son = (x + 5) years
• Age of his father = (4x + 5) years

Therefore,

(Age of father after 5 years) = 3 × (Age of son after 5 years)

→ (4x + 5) = 3(x + 5)

→ 4x + 5 = 3x + 15

→ 4x - 3x = 15 - 5

→ x = 10

Hence,

• Present age of son, x = 10 years.
• Present age of father, 4x = 4 × 10 = 40 years.

Answer 2

Answer:

Given :-

• A father is four times as old as his son after 5 years he will be three times as old as his son.

To Find :-

• What is their present ages .

Solution :-

» Let, the present age of son be x

» And, the present age of his father will be 4x

➙ After 5 years,

» The age of son will be x + 5

» And, the father age will be 4x + 5

According to the question,

⇒ 4x + 5 = 3(x + 5)

⇒ 4x + 5 = 3x + 15

⇒ 4x - 3x = 15 - 5

➠ x = 10 years

Hence, their present ages are :

➣ Present age of son = x = 10 years

➣ Present age of his father = 4x = 4(10) = 40 years

$\therefore$ The present age of son is 10 years ago his father age will be 40 years .