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Maria was twice the age of Monica 7 years back. After 5 years, Monica’s age will be two third of Maria’s age. What was Maria’s age 3 years back?

Maria was twice the age of Monica 7 years back. After 5 years, Monica’s age will be two third of Maria’s age. What was Maria’s age 3 years back? Correct Answer 28 years

Let Monica’s age be T years now.

⇒ Age of Monica 7 years back = (T – 7) years

⇒ Age of Maria 7 years back = 2(T – 7) years

⇒ Age of Maria now = 2(T – 7) years + 7 years = (2T – 7) years

After 5 years, Monica’s age will be two third of Maria’s age.

⇒ T + 5 = (2/3)(2T – 7 + 5)

⇒ 3T + 15 = 4T - 4

⇒ T = 19

⇒ Age of Maria now = 2(T – 7) years + 7 years = (2T – 7) years = 31 years

⇒ Age of Maria 3 years back = 28 years

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