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Q.

Pooja, Shipra and Monika are three sisters. Pooja and Shipra are twins. The ratio of sum of the ages of Pooja and Shipra is same as that of Monika alone. Three years earlier the ratio of age of Pooja and Monika was 2 : 7. What will be the age of Shipra 3 years hence?

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a

21 years

b

16 years

c

12 years

d

8 years

answer is C.

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Detailed Solution

$Since Pooja and Shipra are twins so their ages be same. Let their ages be x and age of Monika be y, then x + x = y \cdot \cdot \cdot (1) and \frac{(x - 3)}{(y - 3)} = 2 / 7 ⟹ 7 x - 2 y = 15 Now, from equation(1), 7 x - 4 x = 15 ⟹ x = 5 So the age of shipra 3 years hence will be 5 + 3 = 8 years.$

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