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13.) Seven years ago Rohit's age was 5 times the square os Shikhar's age. Three years hence(12)Shikhar's age will beof Rohit's age. Find their present age |
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Answer» Let present age of Rohit be xLet present age of Shikhar be y As per given conditions(x-7) = 5(y - 7)^2...... (1) (y + 3) = 2/5(x + 3)5y + 15 = 2x + 6y = (2x - 9)/5......(2) Put value of y in eq(1), we get(x - 7) = (2x - 9 - 35)^2 /55x - 35 = 4x^2 + 1936 - 176x4x^2 - 181x + 1971 = 04x^2 - 108x - 73x + 1971 = 04x(x - 27) - 73(x - 27) = 0x = 73/4, 27 Age must be integer value. So, x = 27 y = (2*27 - 9)/5 = 45/5 = 15 Therefore, Present age of Rohit = 27Present age of Shikhar = 15 |
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