SOLUTION: a two digit number is six more than thrice its unit digit. The number would be reversed if it is added to 45. what is the number?

Question 480029: a two digit number is six more than thrice its unit digit. The number would be reversed if it is added to 45. what is the number?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Let x = the 10's digit
let y = the units
10x+y = "the number)
:
"a two digit number is six more than thrice its unit digit."
10x + y = 3y + 6
10x = 3y - y + 6
10x = 2y + 6
:
" The number would be reversed if it is added to 45."
10x + y + 45 = 10y + x
10x - x + 45 = 10y - y
9x + 45 = 9y
simplify, divide by 9
x + 5 = y
:
Using the 1st equation, replace y with (x+5)
10x = 2(x+5) + 6
10x = 2x + 10 + 6
10x - 2x = 10 + 6
8x = 16
x = 16/8
x = 2
:
2 + 5 = y
y = 7
:
27 is the number
:
Check this in both statements

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