SOLUTION: When you add 12 to a number and then divide the sum by 13, you get the same result as when you subtract 13 from the number and then divide the difference by 12. What's the number?

Question 694610: When you add 12 to a number and then divide the sum by 13, you get the same result as when you subtract 13 from the number and then divide the difference by 12. What's the number?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
When you add 12 to a number and then divide the sum by 13, you get the same result as when you subtract 13 from the number and then divide the difference by 12. What's the number?
----
Let the number be "x":
Equation:
(x+12)/13 = (x-13)/12
-----
Cross-multiply:
12x + 144 = 13x - 169
---
x = 313
===================
Cheers,
Stan H.
============

RELATED QUESTIONS
When you add 12 to a number and then divide the sum by 13, you get the same result as... (answered by ankor@dixie-net.com)

Please help me answer this word problem: When you add three to a number and then... (answered by rfer)

Please help me with this question. When you add three to a number and then divide the... (answered by TimothyLamb)

When you multiply a certain number by 3 and then subtract 7/18, you get the same result... (answered by solver91311)

Which number gives the same result when you subtract 10 as when you divide by... (answered by College Student)

Which number gives the same result when you subtract 6 as when you divide by... (answered by Alan3354)

If you divide a number by 8, subtract 2 and add 4, you get 13. What is the number? (answered by Tatiana_Stebko)

When you have a problem written like this: 7 - (13 - 8) + 3 . 2 ___________________... (answered by checkley71)

can you help me on this question please: If i add 4 to the number and then multiply the... (answered by stanbon)