SOLUTION: a certain two digit number is 2 more than 8x the sum of its digits if 54 is subtracted from the number digit will be

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Question 1104051: a certain two digit number is 2 more than 8x the sum of its digits if 54 is subtracted from the number digit will be
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
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two digit number is 2 more than 8x the sum of its digits.
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10t%2Bu=8%28t%2Bu%29%2B2
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10t%2Bu=8t%2B8u%2B2
2t-7u=2

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The possible numbers are:
2t=2%2B7u
t=%282%2B7u%29%2F2
t=0,u=1---------------NO.
u=2,t=8
u=3,t=23/2=11.5--------NO.
system%28Only%2Ct=8%2Cand%2Cu=2%29------------highlight%2882%29


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if 54 is subtracted from the number,...
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82-54=28
the digits will be reversed.