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Uses of Ratios and Proportions

The ratio of ...

Question

The ratio of two numbers is $2 : 6$ and their difference is $84$ . The largest number is-

A

124

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B

126

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C

118

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D

226

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Solution

The correct option is B $126$
Let the numbers be $2 x$ and $6 x$
We have,
$6 x - 2 x = 84$
$4 x = 84$
$x = 21$
Largest number $= 6 x$
$= 6 \times 21 = 126$

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