Question

if I take three-fourths of a number and add 3 to it,I get 21?

Answer 1

$\frac{3x}{4} + 3 = 21 \\ \frac{3x}{4} = 21 - 3 \\ \frac{3x}{4} = 18 \\ 3x = 18 \times 4 \\ x = \frac{18 \times 4}{3 } \\ x = 24 \\ \\ \\ hope \: it \: will \: help \: u \: \\ plz \: mark \: as \: brainliest \\ if \: u \: understood$

Answer 2

Given: Three-fourths of a number added to 3 gives 21.

To Find: The number

Solution:

Let the number be x.

∴ Three-fourths of x = $\frac{3x}{4}$

According to the problem,

$\frac{3x}{4} +3$ = 21

⇒ $\frac{3x\times 1 + 3 \times 4}{4} =21$

⇒ 3x + 12 = 21 $\times$ 4

⇒ 3x + 12 = 84

⇒ 3x = 84 - 12

⇒ 3x = 72

⇒ x = $\frac{72}{3}$

⇒ x = 24

Answer: The number is 24.