Question
Download Solution PDFKeshav 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?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFLet 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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