SOLUTION: The sum of the digits of a two digit number is ten. The original number is two more than five times the units digit. Find this number.

Algebra.Com
Question 715216: The sum of the digits of a two digit number is ten. The original number is two more than five times the units digit. Find this number.
Answer by KMST(5328)   (Show Source): You can put this solution on YOUR website!
= tens digit
= units digit
The value of the number is

"The sum of the digits of a two digit number is ten" translates as


"The original number is two more than five times the units digit" translates as
--> --> -->

We need to solve the system
we can solve the first equation for and substitute the expression found for in the second equation to find
-->
--> --> --> --> --> --> --> -->
Now we substitute that value into one of the equations to find :
--> --> -->
The number is

RELATED QUESTIONS

A two digit number whose ten digit is 2 more than the units digit is 3 more than 6 times... (answered by greenestamps,josgarithmetic)
The tens digit of a two-digit number is 1 more than two times the units digit. If the sum (answered by Shai)
The units digit is 1 more than 3 times the tens digit in a two digit number. The number... (answered by ankor@dixie-net.com)
The tens digit of a two-digit number exceeds twice its units digit by 1. If the digits... (answered by josgarithmetic)
The tens digit of a two-digit number exceeds twice its units digit by 1. If the digits... (answered by vleith)
The sum of the digits of a two digit number is 11. The tens digit is one more than four... (answered by feliz1965)
The tens digit of a two-digit number is 1 more than four times the units digit. If the... (answered by htmentor)
The tens digit of a two-digit number is 1 more than three times the units digit. If the... (answered by math_helper)
a two digit number is 6 times the sum of its digits. the tens digit is 1 more than the... (answered by xcentaur)