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Solving Equations with Variables on Both Sides

If 18+19=x1...

Question

If $\frac{1}{8} + \frac{1}{9} = \frac{x}{10}$ , then $x$ is equal to

A

100

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B

1.36

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C

170

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D

2.36

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Solution

The correct option is D $2.36$
$\frac{1}{8} + \frac{1}{9} = \frac{x}{10}$

$⟹ 10 (\frac{1}{8} + \frac{1}{9}) = x$

$⟹ 10 (\frac{9 + 8}{72}) = x$

$⟹ \frac{170}{72} = x$

$⟹ x = 2.36$

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