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Consider the following question and decide which of the statements is sufficient to answer the question. Question: Mika is the niece of Mahi. Determine the present ages of Mika and Mahi. Statements: 1. Their mean age is 27. 2. After 15 years, Mahi’s age will be twice that of Mika’s.

Consider the following question and decide which of the statements is sufficient to answer the question. Question: Mika is the niece of Mahi. Determine the present ages of Mika and Mahi. Statements: 1. Their mean age is 27. 2. After 15 years, Mahi’s age will be twice that of Mika’s. Correct Answer Statement 1 and 2 together are sufficient

Let Mika and Mahi ages be a and b years respectively.

Statement 1:

⇒ (a + b)/2 = 27

⇒ a + b = 54      ----(1)

Statement 2:

After 15 years,

⇒ (a + 15) = 2(b + 15)

⇒ a + 15 = 2b + 30

⇒ a – 2b = 15      ----(2)

By solving equations (1) and (2) both we can get the respective age of Mahi and Mika

∴ Statement 1 and 2 together are sufficient

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