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July 24, 2014

July 24, 2014

Posted by **David** on Tuesday, January 17, 2012 at 3:56am.

- Mathematics -
**Reiny**, Tuesday, January 17, 2012 at 7:54amLet the original fraction be x/y

equation #1 : (x-1)/(y-1) = 3/4

4x - 4 = 3y - 3

4x - 3y = 1

equation #2 : (x+1)/*(y+1) = 4/5

5x + 5 = 4y + 4

5x - 4y = -1

#1 times 4 :16x - 12y = 4

#2 times 3 : 15x - 12y = -3

subtract them ...

x = 7

back in #1

28 - 3y = 1

-3y = -27

y = 9

the fraction was 7/9

check:

6/8 = 3/4 ✔

8/10 = 4/5 ✔

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