3 years ago

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

Mathematics

1 answer:

LenaWriter [7]3 years ago

8 0

Answer:

Step-by-step 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

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