SOLUTION: The tens digit is 6 less than the units digit of a two digit number. When the digits are reversed the sum of the two numbers is 132. What is the original number?

Algebra.Com
Question 516904: The tens digit is 6 less than the units digit of a two digit number. When the digits are reversed the sum of the two numbers is 132. What is the original number?
Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
let the number be represented by xy
x=y-6
x-y=-6...........1
10y+x+10x+y=132
11x+11y=132
/11
x+y = 12.............2
Add (1) & (2)
2x=6
x=3
so plug x in 1
y=9
The number is 39

RELATED QUESTIONS

The units’ digit of a two-digit number is 2 more than 3 times the tens’ digit. When the... (answered by josmiceli)
In a two-digit number, the tens digit is two less than the units digit. If the digits are (answered by josgarithmetic)
The tens digit of a two digit number is 7 more than the units digit. The sum of the... (answered by MathTherapy)
11) The units digit of a two-digit number is one-third the tens digit. When the digits... (answered by venugopalramana)
11) The units digit of a two-digit number is one-third the tens digit. When the digits... (answered by venugopalramana)
The units digit of a two-digit number is one-third the tens digit. when the digits are... (answered by venugopalramana)
The units digit of a two-digit number is one-third the tens digit. when the digits are... (answered by venugopalramana)
the tens digit of a two digit number is half of the units digit. when the digits are... (answered by LinnW)
The tens digit of a two digit number is half of the units digit. When the digits are... (answered by ikleyn)