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The sum of the present ages of two brothers Arjun and Karan is 33 years. Two years ago, the product... (kept linear) Five years from now, Arjun will be twice as old as Karan was 5 years ago. Given Arjun + Karan = 33, find Arjun's present age (in years).

Class 10Word Problems on Linear PairsAlgebra — Systems of Equations
  • A19
  • B14
  • C21
  • D17

Step-by-Step Solution

a + k = 33. a + 5 = 2(k - 5) -> a - 2k = -15. Subtract from a + k = 33: 3k = 48, k = 16... recheck: a+k=33 and a-2k=-15; subtract second from first: 3k=48, k=16, a=17. With a=17: 17+5=22, 2(16-5)=22 yes. So Arjun = 17.
Answer: D) 17

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