sum of one half a number,one ninth of a numberand one twefth of a number is 25. whats the ogrinial number

Question

could you list the steps

Answer 1

One-half a number = x/2

One-ninth a number = x/9

One-twelfth a number = x/12

 

x/2 + x/9 + x/12 = 25

18x/36 + 4x/36 + 3x/36 = 25 (find/use the least common denominator)

25x/36 = 25 (add the fractions)

25x = 900 (multiply each side by the denominator, 36) OR x/36 = 1 (divide each side by 25)

x = 36 (divide each side by 25) OR (multiply each side by 36)

 

The original number is 36