SOLUTION: find the two digit number whose ten digit is four less than its unit digits. If the orignial number is two more than three ties the sum of the digit. The answer is one of the follo

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: find the two digit number whose ten digit is four less than its unit digits. If the orignial number is two more than three ties the sum of the digit. The answer is one of the follo      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 325074: find the two digit number whose ten digit is four less than its unit digits. If the orignial number is two more than three ties the sum of the digit. The answer is one of the following four answers: 48 or 15 or 26 or 37
I am stumped.

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let x be in the tens place
y in units place
..
10x+y is the number.
..
y-4 =x
y-x=4.............1
..
10x+y= 3(x+y)+2
10x+y=3x+3y+2
7x-2y=2...........2
..
multiply equation1 by 2 and add equation 2 to it
2y-2x=8
..
2y-2x+7x-2y=8+2
5x=10
x=2 the tens place.
plug the value of x in the equation 1
y-x =4
y-2=4
y=6
..
The number is 26