Question

• By what number 50/8 be
multiplied to get 25 ?
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Answer 1

$\large\sf\underline{Given\::}$

• A number multiplied with $\sf\:\frac{50}{8}$ gives $\sf\:25$

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$\large\sf\underline{To\:find\::}$

• The number

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$\large\sf\underline{How\:to\:do\:?}$

In this question we are said that $\sf\:\frac{50}{8}$ when multiplied by a number gives 25 . We will suppose the number as x . After supposing the number to be x, we will form an appropriate equation and then solve it. Solving the equation we will get the required number. Let's begin !

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$\large\sf\underline{Assumption\::}$

• Let the number be x

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$\large\sf\underline{Solution\::}$

According to the question :

A number multiplied with $\sf\:\frac{50}{8}$ gives $\sf\:25$

Forming an equation :

$\sf\implies\:\frac{50}{8} \times x = 25$

• Multiplying at LHS

$\sf\implies\:\frac{50x}{8} = 25$

• Now cross multiplying

$\sf\implies\:50x = 25 \times 8$

$\sf\implies\:50x = 200$

• Transposing 50 to other side it goes to denominator

$\sf\implies\:x = \frac{200}{50}$

• Reducing it to lower terms

$\sf\implies\:x = \cancel{\frac{200}{50}}$

$\large{\underline{\boxed{\mathrm\red{\implies\:4}}}}$ ✧

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$\dag\:\underline{\sf So\:the\:required\:number\:is\:4.}$

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Not sure about the answer !?

Let's verify it :-

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$\sf\to\:\frac{50}{8} \times x = 25$

• Plugging the value of x as 4

$\sf\to\:\frac{50}{8} \times 4 = 25$

• Multiplying in LHS

$\sf\to\:\frac{200}{8} = 25$

• Reducing to lower terms in LHS

$\sf\to\:\cancel{\frac{200}{8}} = 25$

$\sf\to\:25 = 25$

$\bf\to\:LHS = RHS$

$\large{\mathfrak\orange{\dag\:hence\:verified\:\dag}}$

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!! Hope it helps !!