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Upper primary school mathematics question UPQ115

Fatimah is 1/3 as old as Hairu now. In 6 years’ time, the ratio of Fatimah’s age to Hairu’s age will be 3: 5. How old is Hairu now?

Solution:

The final ratio of the ages is Fatimah : Hairu = 3 : 5

After 6 years, the age different is still 6 years

2 units = 6

1 unit = 3

Hairu’s age today = 3 × 3 = 9 years old

Alternative solution:

(1U + 6) ÷ 3 = (3U + 6) ÷ 5

5U + 30 = 9U + 18

4U = 12

1U = 3 years

Hairu is 3 × 3 = 9 years old now

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