SOLUTION: 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.

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.
RELATED QUESTIONS
In a two digit number, unit�s digit is 3 more than the ten�s digit. The number formed by... (answered by stanbon)

in a two digit number ,ten's digit is twice the unit's digit.the number formed by... (answered by josgarithmetic)

A two digit number in base ten is equal to five times the sum of the digits. It is nine... (answered by lwsshak3)

The tens digit of a certain two digit number is two more than the units digit. The... (answered by mathstutor458,richwmiller)

A certain two digit number is 13 more than 9 times the tens digit. The original number is (answered by lwsshak3)

A certain two digit number is 4 more than 10 times the tens digit. The original number is (answered by Boreal)

a certain two digit is 13 more than 9 times the tens digit. the original number is 4 less (answered by mananth)

The digit at ten's place of a two-digit number is three times the digit at unit's place.... (answered by mananth)

i need solution. In a two digit number the digit at ten place is twice the digit at unit (answered by ptaylor,talwar.raveena1990@gmail.com)