Keshav and Danish are friends and the age of Keshav 4 years ago is equal to present age of Danish. After six years the ratio of their age will become 19 ∶ 17. What is the sum of their ages?

  1. 45 years
  2. 50 years
  3. 60 years
  4. 70 years

Answer (Detailed Solution Below)

Option 3 : 60 years
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Detailed Solution

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Let the ages of Keshav and Danish after six years be 19x and 17x respectively

⇒ Present age of Keshav = (19x - 6) years

⇒ Present age of Danish = (17x - 6) years

According to question, age of Keshav 4 years ago is equal to present age of Danish

19x - 6 - 4 = 17x - 6

⇒ 2x = 4

⇒ x = 2

Present age of Keshav = (19 × 2) - 6 = 32 years

Present age of Danish = (17 × 2) - 6 = 28 years

Sum of their ages = 32 + 28 = 60

∴ The sum of their ages is 60.

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