Question

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

Answer 1

Answer:

X=16

Step-by-step explanation:

let the number be X

by the given statements,equation:-

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

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

2x-x/4=20-x. (LCM OF 1/2X AND 1/4X)

x/4=20-x

x=4(20-x)

x=80-4x

x+4x=80

5x=80

x=80/5

=16

Answer 2

The number is 16

Step-by-step explanation:

Let the number be x

Half of a number = $\frac{1}{2}x$

A number plus half of the number, minus 20 = $x+\frac{1}{2}x-20$

One-Fourth of original number = $\frac{1}{4}x$

We are given that A number plus half of the number, minus 20 is the same as one-fourth of the original number.

So, $x+\frac{1}{2}x-20=\frac{1}{4}x$

x+\frac{1}{2}x-\frac{1}{4}x=20

\frac{5}{4}x=20

5x=80

x=\frac{80}{5}

x= 16

Hence the number is 16

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