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The sum of the digits of a two digit numbers is 9. If 9 is subtracted from the number, the resultant number is equal to the number obtained by reversing the digits of the original number. Find the original number. |
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Answer» Let the number be in the form of `10 x +y` , where x and y are the tens digit and the units digit respectively. Applying the first condition given in the problem, we get `x +y =9 to (1)` Applying the second condition givent the problem, we get `10 x +y -9 = 10 y +x` `rArr x-y =1 to (2)` Solving equations (1) and (2) We get `x = 5 and y =4` `therefore ` The number is 54. |
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