Question

$\huge \fcolorbox{red}{pink}{Question - }$
Find the value of x in each of the following.
15:x::5:3​

Answer 1

Step-by-step explanation:

$\frac{15}{x} {=} \frac{5}{3}$

→ x = $\frac{5}{3} \times {15}$

→ x = 5 × 5

→ x = 25

Answer 2

$\huge \fcolorbox{red}{pink}{Question - }$

Find the value of x in each of the following.

15:x::5:3

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Given:-

15:x::5:3

$\fcolorbox{yellow}{aqua}{Find}$

• Value of x

$\large\boxed{\fcolorbox{red}{yellow}{Formula used }}$

Product of Extremes=Product of Means

Extremes mean the outer terms and means mean terms which are in middle

So,Extremes are 15 and 3

And means are x and 5

Let's solve further,

15:x::5:3

Product of extremes =Product of means

15×3 =x×5

45=5x

$\frac{45}{5} = x$

$9 = x$

So,

$\small{\boxed{\boxed{\red{\ulcorner{\mid{\overline{\underline{\bf{x=9}}}}}\mid}}}}$

__________________________

Verification:-

15:x::5:3

Now,insert value of x

So,

$\frac{15}{9} = \frac{5}{3}$

$by \:converting \: \frac{15}{9} into \: lowest \: term \: it \: comes \: same \frac{5}{3}$

So,9 is the Correct value of x.

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$\Large\mathcal{\fcolorbox{lime}{black}{\pink{Hope~it~helps}}}$