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Question 406069: In a two-digit number, ten's digit is twice the units digit. The number formed by interchanging the digits is 36 less than the original number. Find the number.
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! In a two-digit number,
Let x = the 10's digit
Let y = the units
then
10x+y = the number
:
'ten's digit is twice the units digit."
x = 2y
:
The number formed by interchanging the digits is 36 less than the original number
10y + x = 10x + y - 36
10y - y = 10x - x - 36
9y = 9x - 36
Simplify, divide by 9, results
y = x - 4
From the 1st statement; replace x with 2y
y = 2y - 4
4 = 2y - y
4 = y
then
x = 2(4)
x = 8
84 is the number:
:
:
Check this in the statement:
" The number formed by interchanging the digits is 36 less than the original number."
48 = 84 - 36
Find the number.
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