SOLUTION: The sum of the digits of a two-digit number is 13. Twice the tens digit is two less than 5 times the units digit. Find the number.

Algebra ->  Systems-of-equations -> SOLUTION: The sum of the digits of a two-digit number is 13. Twice the tens digit is two less than 5 times the units digit. Find the number.      Log On


   

Question 1136711: The sum of the digits of a two-digit number is 13. Twice the tens digit is two less than 5 times the units digit. Find the number.
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Two-digit number, 10t%2Bu

system%28t%2Bu=13%2C2t=-2%2B5u%29

2t%2B2u=26
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2t=26-2u=5u-2
26-2u=5u-2
26=7u-2
28=7u
highlight_green%28u=4%29
-
highlight_green%28t=9%29

highlight_green%28highlight%2894%29%29----------the two-digit number