Question

The product of three numbers is 5½ . If two of them are 2/7 and 1⅜ , find the third​

Answer 1

Answer:

do 2/7 +1 3/8 and subtract the answer by 5 ¹/2

Step-by-step explanation:

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Answer 2

Given :

• Product of three numbers is 5½
• Two of the numbers are 2/7 and 1⅜

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To find :

• The third number.

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Concept :

In this question we are given the product of three numbers as 5½ . Of these three numbers we are provided with two numbers i.e., 2/7 and 1⅜ . So to calculate the other third number we need to convert this word problem in the form of a equation. Doing so and solving it we would get our answer.

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Assumption :

• Let the third number be x.

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Solution :

According to the question,

$\sf\:Product~of~three~numbers~=~5\frac{1}{2}$

∓ Substituting the given and assumed values

$\sf\to\:x \times \frac{2}{7} \times 1\frac{3}{8}~=~5\frac{1}{2}$

∓ Proceedings with simple calculation

$\sf\to\:x \times \frac{2}{7} \times \frac{11}{8}~=~\frac{11}{2}$

$\sf\to\:\frac{2x}{7} \times \frac{11}{8}~=~\frac{11}{2}$

$\sf\to\:\frac{22x}{56}~=~\frac{11}{2}$

∓ Cross multiplying

$\sf\to\:22x \times 2~=~11 \times 56$

$\sf\to\:44x~=~616$

$\sf\to\:x~=~\cancel{\frac{616}{44}}$

$\small{\underline{\boxed{\mathrm{\to\:14}}}}$ $\small\red{\tt\pmb{⋆}}$

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Verification :

$\sf\:x \times \frac{2}{7} \times 1\frac{3}{8}~=~5\frac{1}{2}$

$\sf\leadsto\:14 \times \frac{2}{7} \times 1\frac{3}{8}~=~5\frac{1}{2}$

$\sf\leadsto\:\frac{28}{7} \times \frac{11}{8}~=~\frac{11}{2}$

$\sf\leadsto\:\frac{308}{56}~=~\frac{11}{2}$

$\sf\leadsto\:308 \times 2~=~11 \times 56$

$\sf\leadsto\:616~=~616$

Hence Verified!~

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$\bf\:Henceforth,$

$\bf\:⠀⠀⠀⠀⠀⠀The~required~number~is~14.$

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