SOLUTION: the sum of the digits of a number less than 100 is one fourth of the number, and the number obtained by inverting the digits exceeds the original number by 36. find the original nu

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Question 1072525: the sum of the digits of a number less than 100 is one fourth of the number, and the number obtained by inverting the digits exceeds the original number by 36. find the original number
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
t, the TENS digit
u, the UNITS or ONES digit

system%28t%2Bu=%2810t%2Bu%29%2F4%2C%2810u%2Bt%29-%2810t%2Bu%29=36%29


4t%2B4u=10t%2Bu
-6t%2B3u=0
2t-u=0
u=2t


9u-9t=36
u-t=4

2t-t=4
highlight%28t=4%29

highlight%28u=8%29

Original Number, 48