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Sunita is 20 years older than her niece Pooja. Four years ago, Sunita was 3 times as old as Pooja was then. How old is Pooja now (in years)?

Competition practiceAverages & Ages

A14
B10
C18
D34

Step-by-Step Solution

Let Pooja be

x

. Then

(x + 20) - 4 = 3 (x - 4)

, so

x + 16 = 3 x - 12

and

x = 14

. Check: four years ago

30 = 3 \times 10

.

Answer: A) 14

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