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sum of the digit of two digit no. is 15. The no. is deceased by 27 of the no. is reversed. find the no. |
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Answer» Question: The sum of the digits of two digit number is 15. The number is decreased by 27, if the number is reversed. FIND the number. Solution: Let the digit at unit PLACE = x Let the digit at tens place = y Given: x + y = 15 (Equation 1) The number is 10y + x The reversed number is 10x + y ACCORDING to question 10y + x - 27 = 10x + y 10y + x - 10x - y = 27 9y - 9X = 27 y - x = 3 (Equation 2) Adding Equation 1 and Equation 2 x + y + y - x = 15 + 3 2y = 18 y = 9 Putting value in Equation 1 x + y = 15 x + 9 = 15 x = 15 - 9 x = 6 Therefore, the number is 96. |
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