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Ages & Problems on Numbers · Question 12 of 60

Question 12

MediumOriginal question

A father is 30 years older than his son. In 5 years, the father will be three times as old as the son. What is the son's present age?

Options for question 12

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. Let the son be ss; the father is s+30s + 30.

  2. In 5 years: s+35=3(s+5)s + 35 = 3(s + 5).

  3. s+35=3s+15s + 35 = 3s + 15, so 2s=202s = 20 and s=10s = 10.

  4. Check: in 5 years they are 15 and 45, and 45=3×1545 = 3 \times 15.

Worth noting

15 years is the son's age in 5 years; the question asks for his age now.

Concept
Constant age gap with a future multiple
Typical time
75 s
Your time
—
The rule this testsProblems on ages
Practise this chapter →

Ten questions from Ages & Problems on Numbers, at your own pace.

Practise this chapter →

Ten questions from Ages & Problems on Numbers, at your own pace.