Question

The difference between a number and 1/4th of itself is 24 find the number

Answer 1

Answer:

The number is 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.

Answer 2

Given:

• The difference between a number and 1/4th of itself is 24.

To find:

• Find the number

Solution:

• Consider the number x

$\sf \red{ \: Based \: On \: Condition }\\ x - \frac{1}{4} = 24 \ \\ \sf \blue{ Taking \sf\: Lcm} \\ \frac{(4x - x)}{4} = 24 \\ \frac{3x}{4} = 24 \\ \red{ By \: Cross \: Multipication} \\ x = 24 \times \frac{4}{3} \\ \sf \pink {\: So \: We \: Get }\\ x = 8 \times 4 \\ = 32 \\ \sf \purple{Hence, \: the \: Number \: is \: 32.}$