Question

find the x in 16 : 25 :144 :x

Answer 1

$\LARGE{\underline{\pink{\sf{✰Answer}}}}$

$the\: value \:of\:\fbox\purple{ x \:=\: 225}$

___________________________

$\LARGE{\underline{\pink{\sf{✰Explanation}}}}$

find the x in 16 : 25 :144 :x

If the form of fraction

$\Longrightarrow\:\:\frac{16}{25}\:\:\:\frac{144}{x}$

.

$\Longrightarrow\:\:\frac{16}{25}\:\searrow\:\frac{144}{x}$

$\Longrightarrow\:\:\frac{16}{25}\:\swarrow\:\frac{144}{x}$

[by cross multiplication]

16x = 144 × 25

16x = 3,600

$x\:\:=\:\:\frac{3600}{16}$

$\fbox\purple{x\: = \:225}$

.

Therefore, the value of x is = 225

Answer 2

SOLUTION

TO DETERMINE

The value of x when

16 : 25 :: 144 : x

EVALUATION

Here it is given that

16 : 25 :: 144 : x

So by the given condition

$\displaystyle \sf{ \implies \: \frac{16}{25} = \frac{144}{x} }$

$\displaystyle \sf{ \implies \: 16x = 144 \times 25}$

$\displaystyle \sf{ \implies \: x = \frac{144 \times 25}{16} }$

$\displaystyle \sf{ \implies \: x = 9 \times 25 }$

$\displaystyle \sf{ \implies \: x = 225}$

FINAL ANSWER

The required value x = 225

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