Question

When a fourth of a number is added to the number 30 is the got. what is the number​

Answer 1

Correct Question:

• When one-fourth of a number is added to the number, we get 30. What is the number?

Answer:

24 is the number.

Given:

• The sum of the number and its one-fourth is 30

To Find:

• The number

Solution:

let the number = x

According to the question:

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⟹⠀⠀$\sf x+\bigg(\dfrac{1}{4} \times x\bigg) = 30$

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⟹⠀⠀$\sf x + \dfrac{x}{4} = 30$

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⟹⠀⠀$\sf \: \dfrac{4x + x}{4} = 30$

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⟹⠀⠀$\sf \dfrac{5x}{4} = 30$

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⟹⠀⠀$\sf5x = 30 \times 4$

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⟹⠀⠀$\sf5x = 120$

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⟹⠀⠀$\sf \: x = \dfrac{120}{5}$

⠀⠀

⟹⠀⠀$\sf \: x = 24$

⠀⠀

24 is the number.

⠀⠀⠀⠀⠀⠀⠀

Answer 2

Question :

To find the number

Solution :

Given :

• a fourth of a number, no. be x
• = x × ¼ =x/4
• Added to the number =
• = x + x × ¼ = 30
• The sum is 30.

Let's do :

$\longrightarrow\large\sf \: x + x \times \frac{1}{4} = 30$

$\longrightarrow\large\sf \: x + \frac{x}{4} = 30$

$\longrightarrow\large\sf \: \frac{x}{1} + \frac{x}{4} = 30$

$\longrightarrow\large\sf \: \frac{4x + x}{4} = 30$

$\longrightarrow\large\sf \: \frac{5x}{4} = 30$

$\sf\large\longrightarrow \: 5x = 30 \times 4$

$\longrightarrow\sf \large \: 5x = 120$

$\longrightarrow\large\sf \: x = \frac{120}{5}$

$\longrightarrow\large\bf \: x = 24$

so, the number is 24.

\rule{300}{1.5}

Let's verify :

$= > \sf \: x + x \times \frac{1}{4} = 30$

$= > \sf \: 24 + 24 \times \frac{1}{4} = 30$

$= > \sf \: 24 + \frac{24}{4} = 30$

$\sf \: = > 24 + 6 = 30$

$= > \sf \: 30 = 30$

$\bf \displaystyle \bf \: LHS \: = RHS$

Thus Solved !!