Question

If 6 : x : : 2 : 13, Find value of x.​

Answer 1

Answer:

x

2

−6x+13=(x−3)

2

+4. The smallest value for this expression, 4, is obtained when x=3; or graph y=x

2

−6x+3. The turning point, whose ordinate is 4, is a minimum point.

Answer 2

$\huge\sf{\underline\pink{\underline\red{\underline\red{❥Answer}}}}$

6 : x : : 2 : 13

$\: \small\sf\red{product \: of \: extremes = product \: of \: means}$

$\sf\green{6 \times 13 = x \times 2}$

$\rightarrow\sf\green{x = \frac{6 \times 13}{2} = 39}$

$\rightarrow\small\sf\blue{ \: x = 39}$

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$\texttt\red{knowledge cell}$

✷Ratio

A comparison between two quantities of the same kind and in the same units,by dividing one with the other is called ratio.