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QOne year ago, the ratio of Honey's age to Piyush's age was 2:3. In five years, this ratio will become 4:5. How old is Piyush currently?
ID: #4407
Problems on Ages
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Problems on AgesTopic
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We are given that age ratio of Honey: Piyush = 2: 3 Honey’s age = 2x and Piyush’s age = 3x One year ago, their age was 2x and 3x. Hence at present, Honey's age = 2x +1 and Piyush's age = 3x +1 After 5 years, Honey’s age = (2x +1) + 5 = (2x + 6) Piyush's age = (3x +1) + 5 = (3x + 6) After 5 years, this ratio becomes 4: 5. Therefore, (2x+6) / (3x+6) = 4/5 10x + 30 = 12x + 24 ⇒ x = 3 Piyush's present age = (3x + 1) = (3x 3 + 1) = 10 years Honey's present age = (2x + 1) = (2x 3 + 1) = 7 years
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