kwydra1996
kwydra1996 kwydra1996
  • 15-02-2019
  • Mathematics
contestada

​One-third of a number is 1 more than ​one-fourth of the same number.
What is the number?

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sqdancefan
sqdancefan sqdancefan
  • 15-02-2019

Answer:

  12

Step-by-step explanation:

1/3 of 12 = 4

1/4 of 12 = 3

4 is 1 more than 3.

The number is 12.

_____

If this does not immediately come to mind, you can solve for the number, x:

  x/3 -x/4 = 1 . . . . the difference between 1/3 of x and 1/4 of x is 1

  x/12 = 1 . . . . . . . collect terms: (1/3 -1/4 = 4/12 -3/12 = 1/12)

  x = 12 . . . . . . . . multiply by 12

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