If 5 3 x = 25 27 , then x lies between 1 and 2. Options: A . &nbspTrue B . &nbspFalse

Answer: Option A : A 5 3 x = 25 27 By cross multiplication, we get 5 × 27 = 3 x × 25 ⇒ 3 x = 5 × 27 25 ⇒ x = 5 × 27 3 × 25 ⇒ x = 9 5 = 1.8 , which lies between 1 and 2.

If 53x = 2527, then x lies between 1 and 2.

Question

\frac{5}{3 x}

\frac{25}{27}

, then x lies between 1 and 2.

Options:

A . True

B . False

Answer: Option A
:
A

\frac{5}{3 x}

\frac{25}{27}

By cross multiplication, we get

5 \times 27 = 3 x \times 25

\Rightarrow 3 x = \frac{5 \times 27}{25}

\Rightarrow x = \frac{5 \times 27}{3 \times 25}

\Rightarrow x = \frac{9}{5}

= 1.8

, which lies between 1 and 2.

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