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Five – fourths of a number is greater than three – fourths of the number by 6. Find the number.
Question

Five – fourths of a number is greater than three – fourths of the number by 6. Find the number.

A.

10

B.

14

C.

12

D.

8

Correct option is C

Given:

Five-fourths of the number = 54x\frac{5}{4}x​​
Three-fourths of the number = 34x\frac{3}{4}x​​
Difference = 6

Solution:  

Let the number be x.

then, 

5x43x4=6\frac{5x}4 - \frac{3x}{4} = 6​​

24x=6\frac{2}{4}x = 6

12x=6\frac{1}{2}x = 6

x=12x = 12 

thus, the number is 12

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