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Amit is five years older than Vaibhav at present. After four years the ratio of their ages will be 5 ∶ 4. What is Amit's age (in years) at present?
- A12
- B16
- C18
- D21
Answer not set
Discussion 1
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CCommunity
Let Vaibhav’s age = a and Amit’s age = 5 + a
(Amit's age after 4 years)/(Vaibhav's age after 4 years) = 5/4
⇒ (5 + a + 4)/(a + 4) = 5/4
⇒ 20 + 4a + 16 = 5a + 20
⇒ 5a – 4a = 16
⇒ a = 16
∴ Amit’s age = 5 + a = 5 + 16 = 21
(Amit's age after 4 years)/(Vaibhav's age after 4 years) = 5/4
⇒ (5 + a + 4)/(a + 4) = 5/4
⇒ 20 + 4a + 16 = 5a + 20
⇒ 5a – 4a = 16
⇒ a = 16
∴ Amit’s age = 5 + a = 5 + 16 = 21