Question

A number, one-fourth of that number, and one-fifth of that number are added. The result is 58. What is the original number? Check your solution.

Answer 1

Explanation:

Givens

Let the number be x

Let 1/4 x = x / 4

Let 1/5 x = x/5

Total = 58

Formula

x + x/4 + x/5 = 58 Change fractions to decimals

Solution

x + 0.25x +0.2x = 58 Add the terms on the left.

1.45x = 58 Divide by 1.45 on both sides

1.45x/1.45 = 58/1.45

x = 40