SOLUTION: sixteen more than 5 times the units' didgit of a two-digit number is twice the tens' digit. The sum of the digits is 8. What is the number?
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Question 265159: sixteen more than 5 times the units' didgit of a two-digit number is twice the tens' digit. The sum of the digits is 8. What is the number?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Sixteen more than 5 times the units' digit of a two-digit number is twice the tens' digit.
The sum of the digits is 8.
What is the number?
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Equations:
Let the number be 10t+u
---
5u + 16 = 2t
t + u = 8
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Substitute for "t" and solve for "u":
5u + 16 = 2(8-u)
5u + 16 = 16 - 2u
7u = 0
u = 0
---
Since t+u = 8, t = 8
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Ans: 10t+u = 80
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Cheers,
Stan H.
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