SOLUTION: how many 2 digit numbers are possible such that the sum of their digits is equal to twice the difference between digits?

Question 1036845: how many 2 digit numbers are possible such that the sum of their digits is equal to twice the difference between digits?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
The sum can't be odd, because then it wouldn't be divisible by 2.
Therefore, only even digits or odd digits are allowed.
11,13,15,17,19--13 works and 31
20,22,24,26,28----26 works and 62
31,33,35,37,39----39 works and 93
40,42,44,46,48--no
51,53,55,57,59--no
yx
y+x=2(y-x)
y+x=2y-2x
3x=y
========
y+x=2(x-y)
y+x=2x-2y
x=3y
6 numbers are possible

RELATED QUESTIONS
1. How many 2 digit numbers are possible such that the sum of their digits is equal to... (answered by edjones)

howmany two digit members are possible such that the sum of their digits is equal to... (answered by Edwin McCravy)

how many three digit numbers are there such that sum of the squares of any two digits is... (answered by Fombitz)

How many three digit numbers are such that the product of their digits is... (answered by Fombitz,toidayma,MathTherapy)

In a three digit number, the difference between the hundreds and tens digits is equal to... (answered by Edwin McCravy)

how many two digit numbers with their tens digit greater than their unit digit,have the... (answered by Edwin McCravy)

how many three digit numbers have the sum of their digits equal to... (answered by josmiceli)

What is the difference between the greatest and the least three digit numbers having the... (answered by Fombitz)

how many even three digit numbers are there such that the sum of the tens and unit digits (answered by Edwin McCravy)