Question

26) A boy's age is one-fourth that of his father.
After 24 years the boy will be half the age of
his father. Find their present ages.
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Answer 1

Step-by-step explanation:

Answer:

Their present ages:

Boy's age = 12 years

His father's age = 48 years

Step-by-step explanation:

Given that:

A boy's age is one-fourth that of his father.

After 24 years the boy will be half the age of his father.

To Find:

Their present ages.

Let us assume:

Boy's present age be x.

His father's present age = 4x

After 24 years:

Boy's age = x + 24

Father's age = 4x + 24

Finding their present ages:

According to the question.

⟶ 2(x + 24) = 4x + 24

⟶ 2x + 48 = 4x + 24

⟶ 4x - 2x = 48 - 24

⟶ 2x = 24

⟶ x = 24/2

⟶ x = 12

Their present ages:

Boy's age = x = 12 years

His father's age = 4x = (4 × 12) = 48 years

Answer 2

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