Question

36 : x : : x : 16
Find the value of X

Answer 1

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X = 24

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Answer 2

Solution :-

Clearly, $\sf{product \: of \: means = product \: of \: extremes.}$

$\therefore x \times x = 36 \times 16$

$\implies {x}^{2} = (6 \times 6) \times (4 \times 4) = (6 \times 4) { }^{2} \\ = (24) { }^{2} \implies x = 24$

Hence, x = 24.