find the number which when decreased by three fourths of itself equals 28

Sagot :

Let the number be n:

[tex]n - \frac{3}{4} n = 28[/tex]

LCD (Least Common Denominator) is 4.  Multiply each term by 4, simplify each term, if needed. Then solve for n.

[tex](4)n - 4( \frac{3}{4}n)= (4)(28) [/tex]

4n - 3n = 112

n = 112.

The number is 112.

To check:
[tex]112- ( \frac{3}{4})(112) = 28 [/tex]

112 - 84 = 28
28 = 28