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3 years ago, the ratio of Maya’s and Shika’s age was 5 : 9 respectively. After 5 years, this ratio would become 3 : 5. Find the present age of Maya?

A40

B43

C45

D53

Answer:

B. 43

Read Explanation:

3 years ago, ratio of Maya’s and Shika’s age was = 5x : 9x According to the question (5x + 8) / (9x + 8) = 3/5 = 5 × (5x + 8) = 3 × (9x + 8) =25x + 40 = 27x + 24 = 27x – 25x = 40 – 24 ⇒ 2x = 16 ⇒ x = 16/2 ⇒ x = 8 3 years ago age of Maya = 5 × 8 = 40 Present age of Maya = 40 + 3 = 43 years


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