SOLUTION: what is The SUM of the digits of a TWO-DIGIT number is ONE FOURTH of the number. The number is FOUR TIMES the SUM of the DIGITS?

Question 833387: what is The SUM of the digits of a TWO-DIGIT number is ONE FOURTH of the number. The number is FOUR TIMES the SUM of the DIGITS?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Let x = the 10's digit
Let y = the units
:
what is The SUM of the digits of a TWO-DIGIT number is ONE FOURTH of the number.
x + y = (10x+y)
The number is FOUR TIMES the SUM of the DIGITS?
10x + y = 4(x+y)
10x + y = 4x + 4y
10x - 4x = 4y - y
6x = 3y
2x = y
there are several solutions
x y
----
1 2
2 4
3 6
4 8

RELATED QUESTIONS
...The sum of the digits of a two-digit number is one fourth of the number. The number is (answered by venugopalramana)

One-fourth of a two digit number is three more than one-seventh of the number. What... (answered by checkley79)

The sum of the digits of a two digit number is 11. The tens digit is one more than four... (answered by feliz1965)

A two-digit number is four times the sum of its digits. The tens digit is 3 less than the (answered by edjones)

A two-digit number is four times the sum of its digits. The tens digit is 3 less than the (answered by lwsshak3)

The sum of the digits of a two-digit number is 11.Twice the tens digit plus 2 equals ten... (answered by swincher4391)

the tens digit is four times the one digit in a certain number. If the sum of the digits... (answered by ReadingBoosters)

A two digit number is four times the sum of the digits. How many number satisfy the... (answered by ankor@dixie-net.com)

The tens digit of a two-digit number is 1 more than four times the units digit. If the... (answered by htmentor)