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Ages & Problems on Numbers · Question 16 of 60

Question 16

MediumOriginal question

When Ayaan was born, his father was 30 and his mother was 26. Today the three of them have a combined age of 98 years. How old is Ayaan's father now?

Options for question 16

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. Let Ayaan be ss. Father = s+30s + 30, mother = s+26s + 26.

  2. s+(s+30)+(s+26)=98s + (s + 30) + (s + 26) = 98, so 3s=423s = 42 and s=14s = 14.

  3. Father = 14+30=4414 + 30 = 44 years (mother 40).

Worth noting

40 years is the mother's age. 30 is how old the father was at Ayaan's birth, and that gap of 30 stays fixed.

Concept
Family ages from gaps fixed at birth
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.