SOLUTION: The sum of the digits of a certain two digit number is 6. If the original number is subracted form the number formed by interchanging the digits the result is 36. Find the original

Question 379020: The sum of the digits of a certain two digit number is 6. If the original number is subracted form the number formed by interchanging the digits the result is 36. Find the original number
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The sum of the digits of a certain two digit number is 6. If the original umber is subracted from the number formed by interchanging the digits the result is 36. Find the original number.
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Let original number be 10t+u
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Equations:
t + u = 6
10u+t - (10t+u) = 36
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Since t = 6-u, substitute for "t" and solve for "u":
10u + (6-u) -10(6-u)-u =36
10u + 6-u -60+10u -u = 36
18u - 54 = 36
18u = 90
u = 5
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Since t = 6-u, t = 1
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Original Number: 15
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Cheers,
Stan H.
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