8 CHAP

# 8 CHAP - 8. PROBLEMS ON AGES Ex. 1. Rajeev's age after 15...

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8. PROBLEMS ON AGES Ex. 1. Rajeev's age after 15 years will be 5 times his age 5 years back. What is the present age of Rajeev ? (Hotel Management,2002) Sol. Let Rajeev's present age be x years. Then, Rajeev's age after 15 years = (x + 15) years. Rajeev's age 5 years back = (x - 5) years. :. x + 15 = 5 (x - 5) x + 15 = 5x - 25 4x = 40 x = 10. Hence, Rajeev's present age = 10 years. Ex. 2. The ages of two persons differ by 16 years. If 6 years ago, the elder one be 3 times as old as the younger one, find their present ages. (A.A.O. Exam,2003) Sol. Let the age of the younger person be x years. Then, age of the elder person = (x + 16) years. :. 3 (x - 6) = (x + 16 - 6) 3x -18 = x + 10 2x = 28 x = 14. Hence, their present ages are 14 years and 30 years. Ex. 3. The product of the ages of Ankit and Nikita is 240. If twice the age of Nikita is more than Ankit's age by 4 years, what is Nikita's age? (S.B.I.P.O,1999) Sol. Let Ankit's age be x years. Then, Nikita's age = 240/xyears.

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## This note was uploaded on 08/13/2011 for the course FSD 011 taught by Professor Vinh during the Spring '11 term at Beacon FL.

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8 CHAP - 8. PROBLEMS ON AGES Ex. 1. Rajeev's age after 15...

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