Question

A number, one-fourth of that number, and one-third of that number are added. The result is 38. What was the oringnal number?

Answer 1

24

Explanation:

x+1/4x+1/3x=38

x+7/12x=38

19/12x=38

x=38*12/19=24

Answer 2

24

Explanation:

x + (1/4)x + (1/3)x = 38

multiply both sides by 12 to clear the fractions

12x + 3x + 4x = 456

19x = 456

Divide both sides by 19

x = 24