Question

The age of a man 3 times the age his son and 5 years his age will be double the age of his son.find the present age of the man

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Answer 1

The age of a man 3 times the age his son-

Let the man's age be 3x years

After 5 years the man's age will be double the age of his son-

⇒ 3x + 5 = 2(x + 5)

⇒ 3x + 5 = 2x + 10

⇒ x = 15 years

Hence, the present age of the man is 15 years.

Answer 2

Given

• The age of a man is 3 times the age of his son.
• In 5 years his age will be double the age of his son.

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To Find

The current age of the man.

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Solution

Let the present age of the son be ⇒ x

Let the present age of the man be ⇒ 3x

(This is 3x since the age of the son is x and in the question the present age of the man is said to be thrice the age of this son. So his age becomes 3 × x = 3x)

Age of son after 5 years ⇒ 5 + x

Age of man after 5 years ⇒ 5 + 3x

To find the present age of the man we must find the present age of the son. To do so we'll solve this equation ⇒ $3x+5=2(x+5)$

Let's solve your equation step-by-step.

$3x+5=2(x+5)$

Step 1: Simplify both sides of the equation.

$3x+5=2(x+5)$

(Distribute)

$3x+5=(2)(x)+(2)(5)$

$3x+5=2x+10$

Step 2: Subtract 2x from both sides.

$3x+5-2x=2x+10-2x$

$x+5=10$

Step 3: Subtract 5 from both sides.

$x+5-5=10-5$

$x=5$

The present age of the son is ⇒ x ⇒ 5

The present age of the man is ⇒ 3x ⇒ 3 × 5 ⇒ 15

∴ The present age of the man is 15 years.

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