SOLUTION: The tens digit of a two-digit number is four times the units digit. If the digits are reversed, the sum of the new number and the original number is 110. What is the number?

Question 779196: The tens digit of a two-digit number is four times the units digit. If the digits are reversed, the sum of the new number and the original number is 110. What is the number?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The tens digit of a two-digit number is four times the units digit. If the digits are reversed, the sum of the new number and the original number is 110. What is the number?
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Let the number be 10t+u; its reverse is 10u+t
Equations:
t = 4u
10u+t + 10t+u = 110
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Substitute for "t" and solve for "u":
10u + 4u + 10*4u+u = 110
55u = 110
u = 2
----
t = 4u = 8
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Original Number: 10t+u = 82
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Cheers,
Stan H.
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