Question

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

Answer 1

Answer:

let that no. be x

so another no.is 1/4x

given

x-1/4x=24

3x/4=24

x=24×4/3

X=8×4

x=32

Answer 2

Let , a number be x

By the given condition ,

$\sf \implies x - \frac{1}{4} (x) = 24 \\ \\\sf \implies x - \frac{x}{4} = 24 \\ \\ \: \sf Taking \: LCM, we \: get \\ \\ \sf \implies \frac{4x - x}{4} = 24 \\ \\\sf \implies \frac{3x}{4} = 24 \\ \\\sf \implies 3x = 96 \\ \\\sf \implies x = \frac{96}{3} \\ \\\sf \implies x = 32$

Therefore , the required value of number is 32