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the sum of the digits of a two numbers is 10 .if the new number formed by reversing the digits is less than the original number by 36,find the original number. |
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Answer» Let x = units digity = ten's digitThe value of the number is x + 10yThe new value after reversing the digits is 10x + yEquations:x + y = 10 and10x + y = x + 10y - 36 or 9x - 9y = -36 or x - y = -4Add the 2 equations, the result is 2x = 6so x = 3 and y = 7The original number is73 Let x = units digity = ten's digitThe value of the number is x + 10yThe new value after reversing the digits is 10x + yEquations:x + y = 10 and10x + y = x + 10y - 36 or 9x - 9y = -36 or x - y = -4Add the 2 equations, the result is 2x = 6so x = 3 and y = 7The original number is73 |
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