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If 13:11 Is The Ratio Of Present Age Of Jothi And Viji Respectively And 15:9 Is The Ratio Between Jothi's Age 4 Years Hence And Viji's Age 4 Years Ago. Then What Will Be The Ratio Of Jothi's Age 4 Years Ago And Viji's Age 4 Years Hence? |
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Answer» Let the PRESENT AGE of Jothi and Viji be 13X and 11X respectively. Given, Jothi's age 4 years hence and Viji's age 4 years ago in the ratio 15:9. That is, (13X + 4) / (11X - 4) = 15 / 9 => 9 (13X + 4) = 15 (11X - 4) => 117X + 36 = 165X - 60 => 165X - 117X = 60 + 36 => 48X = 96 => X = 96 / 48 => X = 2 Now, Required ratio = (13X - 4) / (11X + 4) on substituting value of X = 2 we get, = [13(2)-4] / [11(2)+4] = 22/26 = 11/13 Hence the ANSWER is 11:13 Let the present age of Jothi and Viji be 13X and 11X respectively. Given, Jothi's age 4 years hence and Viji's age 4 years ago in the ratio 15:9. That is, (13X + 4) / (11X - 4) = 15 / 9 => 9 (13X + 4) = 15 (11X - 4) => 117X + 36 = 165X - 60 => 165X - 117X = 60 + 36 => 48X = 96 => X = 96 / 48 => X = 2 Now, Required ratio = (13X - 4) / (11X + 4) on substituting value of X = 2 we get, = [13(2)-4] / [11(2)+4] = 22/26 = 11/13 Hence the answer is 11:13 |
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