Question

One-fourth of a number is 10 less than two-third of the number find the number
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Answer 1

${\red{Answer}}$

Let the number be x,

According to given question,

$\frac{1}{4} x = \frac{2}{3} x - 10$

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By solving we get,

$\frac{1}{4} x = \frac{2}{3} x - 10 \\ \implies \: \frac{2}{3} x - \frac{1}{4} x = 10 \\ \implies \: \frac{(2x \times4) - (1x \times 3) }{12} = 10 \\ \implies \: \frac{8x - 3x}{12} = 10 \\ \implies \: \frac{5x}{12} = 10 \\ \implies \: 5x = 10 \times 12 \\ \implies \: x = \frac{10 \times 12}{5} \\ \implies \: x = 2 \times 12 \\ \implies \: x = 24$

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Thus $\large{\red{\boxed{\boxed{Number=24}}}}$

Answer 2

$\huge\underline\mathbb {SOLUTUON:-}$

Let the number be x.

Now, According to Given Condition of this question:

$\implies \mathsf {\frac{x}{4} = \frac{2x}{3} - 10}$

$\implies \mathsf {10 = \frac{2x}{3} - \frac{x}{4}}$

Therefore,

• Cross Multiplication:

$\implies \mathsf {x = \frac{10 \times 12}{5} }$

So, x = 24 is the answer.

The required number is 24.

$\underline\mathsf\red {Now,\:check\:the\:answer \: :-}$

LHS:

$\implies \mathsf {\frac{24}{4} = 6}$

Now RHS:

$\implies \mathsf {16 - 10 = 6}$

• So, answer is correct.✔✔