A student was asked to divide a number by 178- Instead- he actually multiplied it by 178 and hence got 225 more than the expected answer- What was the expected answer-

The correct option is A 64 Let the no. be 'x'As x×178=225+x/(17/8) ⇒ x× (17/8)^2 x=225× (178)⇒ x=136 ∴ expected answer = x(17/8)=64 ...

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Standard VIII

Mathematics

Applications (Word Problem)

A student was...

Question

A student was asked to divide a number by $\frac{17}{8}$ . Instead, he actually multiplied it by $\frac{17}{8}$ and hence got $225$ more than the expected answer. What was the expected answer?

126

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136

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64

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84

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Solution

The correct option is A $64$
Let the no. be 'x'

As $x \times \frac{17}{8} = 225 + \frac{x}{(17 / 8)}$

$\Rightarrow x \times (\frac{17}{8})^{2} - x = 225 \times (\frac{17}{8}) \Rightarrow x = 136$

$∴$ expected answer = $\frac{x}{(17 / 8)} = 64$

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A student was asked to divide a number by 178. Instead, he actually multiplied it by 178 and hence got 225 more than the expected answer. What was the expected answer?

The correct option is A 64Let the no. be 'x'As x×178=225+x(17/8)⇒x×(178)2−x=225×(178)⇒x=136∴ expected answer = x(17/8)=64

A student was asked to divide a number by $\frac{17}{8}$ . Instead, he actually multiplied it by $\frac{17}{8}$ and hence got $225$ more than the expected answer. What was the expected answer?

The correct option is A $64$
Let the no. be 'x'

As $x \times \frac{17}{8} = 225 + \frac{x}{(17 / 8)}$

$\Rightarrow x \times (\frac{17}{8})^{2} - x = 225 \times (\frac{17}{8}) \Rightarrow x = 136$

$∴$ expected answer = $\frac{x}{(17 / 8)} = 64$