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?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> 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?      Log On


   

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) About Me  (Show Source):
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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
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t = 4u = 8
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Original Number: 10t+u = 82
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Cheers,
Stan H.
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