<PRE><B>Question 71114</B>
the sum of the digits of a two digit numeral is 8. The number with the digits interchanged is 7 times the tens digit of the original number. find the original number
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COMMENT: Just like 23 means 10*2+3 , tu means 10*t+u
and ut means 10^u+t
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EQUATIONS:
1st: u+t = 8
2nd: 10u+t = 7t
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Solve 1st for t: t=8-u
Substitute into 2nd as follows:
10u+8-u = 7*(8-u)
9u+8 = 56-7u
16u = 48
u = 3
Then t=8-u=5

ORIGINAL NUMBER: 85
Cheers,
Stan H.
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