Question

A number plus half of the number,minus 20 is the same as one-fourth of the original number. What is the number?

Answer 1

16

Explanation:

Let the number = x

x + x/2 - 20 = 1/4 x

3/2 x - 20 = 1/4x Multiply by 4

3*2 x - 80 = x

6x - 80 = x

6x - x - 80 = 0

5x - 80 = 0

5x = 80

x = 16

Check

16 + 8 - 20 = 1/4 * 16

24 - 20 = 4

4 = 4