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Ages & Problems on Numbers · Question 30 of 60

Question 30

HardOriginal question

Five years ago, the average age of Mr and Mrs Kulkarni and their two children was 26 years. A baby has been born since then, and today the average age of all five family members is 25.2 years. How old is the baby?

Options for question 30

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. Five years ago the four members' ages totalled 4×26=1044 \times 26 = 104 years.

  2. Each of the four is now 5 years older: 104+4×5=124104 + 4 \times 5 = 124 years.

  3. Today's total for five members = 5×25.2=1265 \times 25.2 = 126 years.

  4. Baby = 126−124=2126 - 124 = 2 years.

Worth noting

The common slip is to forget that the four older members each gained 5 years (the total rises by 20, not by 5).

Concept
Family average before and after a new member
Typical time
120 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.