Question

The difference between a number and one-fourth of itself is 24, find the number?

Answer 1

Answer:

32

Step-by-step explanation:

Consider the number =x

Based on the condition

x−1/4x=24

Taking LCM

(4x−x)/4=24

3x/4=24

By cross multiplication

x=24×4/3

So we get

x=8×4=32

Hence, the number is 32.

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Answer 2

Answer:

The number is 32

32-8=24

Step-by-step explanation:

According to the question the equation comes like thus

X-1/4X=24

Take L. C. M. =4X

Si,4X^2-1/4X=24

4X^2/4X-1/4X=24

Common X(1-1/4)=24

X(4-1/4)=24

X(3/4)=24

3/4X=24

X=24X4/3

X=96/3

X=32

Number is 32

Given

between a number and one-fourth of itself

So, 32-32*1/4

=32-8

=24

So, the numbers are 24 and 32