Question

When a fourth of a number is added to the number. 30 is got. What is the number?

Answer 1

Answer:

Step-by-step explanation:

Let the number be x

Then 1/4x + x = 30

x/4 + x = 30

(x + 4x)/4 = 30

5x/4=30

5x = 30 ×4

5x = 120

x =120/5

x = 24

Hence the numbers is 24

Answer 2

$\mathfrak{\large{\underline{\underline{Answer :-}}}}$

The number is 24

$\mathfrak{\large{\underline{\underline{Explanation :-}}}}$

Given :

The sum of the values = 30

To find :

The number

Solution :

Consider the number as x

One fourth part = $\sf{\dfrac{1}{4}x}$

★ $\boxed{\sf{\dfrac{1}{4}x+x=30}}$

$\sf{\implies} \: \dfrac{1}{4}x + x = 30$

Make them like fractions so that they can be added

$\sf{\implies} \: \dfrac{1}{4}x + \dfrac{x \times 4}{1 \times 4} = 30$

$\sf{\implies} \: \dfrac{1x}{4} + \dfrac{4x}{4}= 30$

$\sf{\implies} \: \dfrac{5x}{4} = 30$

$\sf{\implies} \:5x = 30 \times 4$

$\sf{\implies} \:5x = 120$

$\sf{\implies} \:x = \dfrac{120}{5}$

$\sf{\implies} \:x = 24$

$\therefore$ The number is 24.

$\rule{300}{1.5}$

$\mathfrak{\large{\underline{\underline{Verification :-}}}}$

$\sf{\implies} \: \left[\dfrac{1}{4} \times 24\right] + 24= 30$

$\sf{\implies} \:6 + 24 = 30$

$\sf{\implies} \:30 = 30$

$\therefore$ The number is 24.