Question

The product of one-fourth and one-fifth of a number is 500. What is the number?

Answer 1

Answer:

Let the number be X

so according to question X/4 x X/5 = 500

so X^2/20 = 500

X^2 = 10000

therefore X =_/10000

X = 100

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Answer 2

Given:

The product of one-fourth and one-fifth of a number is 500.

To find :

The number in which the product of one-fourth and one-fifth is 500.

Solution:

Let the number be x ,

The product of one-fourth and one-fifth of a number is 500.

So, $\frac{x}{4}$ × $\frac{x}{5}$ = 500

$\frac{x^{2} }{20}$ = 500

$x^{2}$ = 10000

x = $\sqrt{10000}$

x = 100

Final answer:

The number is 100 .