SOLUTION: A number with two digits is four times the sum of its digits.The number formed by reversing the order of the digits is 27 greater than the number given, find the number.

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Question 1066891: A number with two digits is four times the sum of its digits.The number formed by reversing the order of the digits is 27 greater than the number given, find the number.
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
system%2810t%2Bu=4%28t%2Bu%29%2C10u%2Bt-%2810t%2Bu%29=27%29

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10t%2Bu=4t%2B4u
6t=3u
2t=u
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10u-u%2Bt-10t=27
9u-9t=27
u-t=3
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2t-t=3
highlight%28t=3%29
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highlight%28u=6%29


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Number is 36.