|
Question 252506: The units of a two digit number is 1 more than twice the tens digit. If the digits are reversed, the new number is 36 more than the original number. Find the number.
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! The units of a two digit number is 1 more than twice the tens digit. If the digits are reversed, the new number is 36 more than the original number. Find the number.
:
Let x = the 10's digit
Let y = the units
then
10x + y = the number
:
"The units of a two digit number is 1 more than twice the tens digit."
y = 2x + 1
:
"If the digits are reversed, the new number is 36 more than the original number."
10y + x = 10x + y + 36
10y - y = 10x - x + 36
9y = 9x + 36
Simplify, divide by 9
y = x + 4
Substitute (2x+1) for y
2x + 1 = x + 4
2x + x = 4 - 1
x = 3
then
y = 2(3) + 1
y = 7
:
37 is the number
:
:
Check solution in the statement:
"If the digits are reversed, the new number is 36 more than the original number. "
73 = 37 + 36
|
|
|
| |
