SOLUTION: I am thinking of a whole number. If I divide it by 13, then multiply the answer by 12, then subtract 20, and then add 89, I end up with 93. What was my original number?

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: I am thinking of a whole number. If I divide it by 13, then multiply the answer by 12, then subtract 20, and then add 89, I end up with 93. What was my original number?      Log On

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Question 199355: I am thinking of a whole number. If I divide it by 13, then multiply the answer by 12, then subtract 20, and then add 89, I end up with 93. What was my original number?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
I am thinking of a whole number. If I divide it by 13, then multiply the answer
by 12, then subtract 20, and then add 89, I end up with 93.
What was my original number?
:
x = "a number"
:
(x%2F13 * 12) - 20 + 89 = 93
:
(x%2F13 * 12) + 69 = 93
:
%2812x%29%2F13 = 93 - 69
:
%2812x%29%2F13 = 24
:
Multiply both sides by 13
12x = 24 * 13
:
12x = 312
x = 312%2F12
x = 26 is the number
:
:
Check solution in original statement
(26%2F13 * 12) - 20 + 89 = 93
(2*12) - 20 + 89 = 93