SOLUTION: 1.The sum of the digits of a 2 digits number is 8.if the digits of the number are reversed,the number formed is 36 more than the number.what is the number
Algebra ->
Customizable Word Problem Solvers
-> Numbers
-> SOLUTION: 1.The sum of the digits of a 2 digits number is 8.if the digits of the number are reversed,the number formed is 36 more than the number.what is the number
Log On
Question 471068: 1.The sum of the digits of a 2 digits number is 8.if the digits of the number are reversed,the number formed is 36 more than the number.what is the number
You can put this solution on YOUR website! 1.The sum of the digits of a 2 digits number is 8.if the digits of the number are reversed, the number formed is 36 more than the number. what is the number
:
Let a = the 10's digit
Let b = the units
:
"The sum of the digits of a 2 digits number is 8."
a + b = 8
b = (8-a)
:
"if the digits of the number are reversed,the number formed is 36 more than the number."
10b + a = 10a + b + 36
10b - b = 10a - a + 36
9b = 9a + 36
simplify, divide by 9
b = a + 4
Replace b with (8-a)
8 - a = a + 4
8 - 4 = a + a
4 = 2a
a =
a = 2,
then
b = 8 - 2
b = 6
:
then 26 is the original two digit number
