If 21x- 412-1012- then the value of - x- is-

The correct option is A 3 21x× 412=1012 ⇒ 2x+1x×92=212 ⇒ 18x+92x=212 ⇒ 36x+18=42x ⇒ 36x 42x= 18 ⇒ ...

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Standard VIII

Mathematics

Applications (Word Problem)

If 21x× 412...

Question

If $2 \frac{1}{x} \times 4 \frac{1}{2} = 10 \frac{1}{2}$ , then the value of ' $x$ ' is-

\frac{1}{2}

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Solution

The correct option is A $3$
$2 \frac{1}{x} \times 4 \frac{1}{2} = 10 \frac{1}{2}$
$\Rightarrow$ $\frac{2 x + 1}{x} \times \frac{9}{2} = \frac{21}{2}$
$\Rightarrow$ $\frac{18 x + 9}{2 x} = \frac{21}{2}$
$\Rightarrow$ $36 x + 18 = 42 x$
$\Rightarrow$ $36 x - 42 x = - 18$
$\Rightarrow$ $- 6 x = - 18$
$\Rightarrow$ $x = 3$

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If 21x×412=1012, then the value of 'x' is-

The correct option is A 321x×412=1012⇒ 2x+1x×92=212⇒ 18x+92x=212⇒ 36x+18=42x⇒ 36x−42x=−18⇒ −6x=−18⇒ x=3

If $2 \frac{1}{x} \times 4 \frac{1}{2} = 10 \frac{1}{2}$ , then the value of ' $x$ ' is-