Question

A man is 42 years old and his son is 12
years old in how many years will the age of the son be half the age ofor the man at that time

Answer 1

Hi there!
Here's the answer:

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Given,
Man's age = 42 years
& His son's age = 12 years

After x years, this condition should be satisfied
Son's age = (1/2) × Man's age

After x years,
Man's age = 42+x
& His son's age = 12+x

=> (12 + x) = (1/2) × (42 + x)
=> 2(12 + x) = (42 + x)
=> 24 + 2x = 42 + x
=> 2x - x = 42 - 24
=> x = 18


•°• After 18 years, half the man's age is equal to his son's age

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Verification:

M- Man's age & S- Son's age
M = 42
S = 12

After 18 years,
M = 60
S = 30 = (1/2) × 60

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:)

Hope it helps