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What number has to be added to the terms 3 : 5 to make the ratio 5 : 6 ?

16
27
312
413

Answer:- 1

Explanation:-

Solution:

Let the number to be added be x
Then,

\begin{aligned} = \frac{3 + x}{5 + x} = \frac{5}{6} \\ \Rightarrow 6 (3 + x) = 5 (5 + x) \\ \Rightarrow 18 + 6 x = 25 + 5 x \\ \Rightarrow x = 7. \end{aligned}

$\eqalign{ & = \frac{{3 + x}}{{5 + x}} = \frac{5}{6} \cr & \Rightarrow 6\left( {3 + x} \right) = 5\left( {5 + x} \right) \cr & \Rightarrow 18 + 6x = 25 + 5x \cr & \Rightarrow x = 7. \cr}$

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", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

Let the number to be added be x
Then,

\begin{aligned} = \frac{3 + x}{5 + x} = \frac{5}{6} \\ \Rightarrow 6 (3 + x) = 5 (5 + x) \\ \Rightarrow 18 + 6 x = 25 + 5 x \\ \Rightarrow x = 7. \end{aligned}

$\eqalign{ & = \frac{{3 + x}}{{5 + x}} = \frac{5}{6} \cr & \Rightarrow 6\left( {3 + x} \right) = 5\left( {5 + x} \right) \cr & \Rightarrow 18 + 6x = 25 + 5x \cr & \Rightarrow x = 7. \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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