Radha has three daughters Rishka, Mishka and Gracia. Rishka and Mishka are twins. Sum of the ages of twins is equal to the age of Gracia. Three years before, the ratio of age of Mishka to that of Gracia was 2 ∶ 7. What will be the age of Rishka three years hence?

Radha has three daughters Rishka, Mishka and Gracia. Rishka and Mishka are twins. Sum of the ages of twins is equal to the age of Gracia. Three years before, the ratio of age of Mishka to that of Gracia was 2 ∶ 7. What will be the age of Rishka three years hence? Correct Answer 8 years

Let the ages of Rishka, Mishka and Gracia be a years, a years and b years respectively.

At present, 2a = b        ---- (1)

Three years before, (a - 3)/(b - 3) = 2/7

⇒ 7a – 21 = 2b - 6

⇒7a - 2b = 15       ---- (2)

From equations (1) and (2):

⇒ 7a - 4a = 15

∴ a = 5.

∴ Age of Rishka after 3 years = 5 + 3 = 8 years

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