SOLUTION: IN A TWO-DIGIT NUMBER,THE SUM OF THE DIGITS IS 8.THE DIFFERENCE BETWEEN THIS NUMBER AND THE NUMBER WITH THE DIGITS REVERSED IS 54.WHAT IS THE NUMBER

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Question 973933: IN A TWO-DIGIT NUMBER,THE SUM OF THE DIGITS IS 8.THE DIFFERENCE BETWEEN THIS NUMBER AND THE NUMBER WITH THE DIGITS REVERSED IS 54.WHAT IS THE NUMBER
Answer by lwsshak3(11628) About Me  (Show Source):
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IN A TWO-DIGIT NUMBER,THE SUM OF THE DIGITS IS 8.THE DIFFERENCE BETWEEN THIS NUMBER AND THE NUMBER WITH THE DIGITS REVERSED IS 54.WHAT IS THE NUMBER
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let u=units digit
let t=tens digit
u+t=8
t=8-u
10t+u-10u-t)=54
9t-9u=54
9(8-u)-9u=54
72-9u-9u=54
18u=18
u=1
t=8-u=7
number: 10t+u=70+1=71