The ratio of two numbers is $3 : 8$ and their difference is $115.$ The largest number is

69

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115

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184

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230

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Solution

The correct option is B $184$
The two numbers are in the ratio $3 : 8$ .
Let the numbers be $3 x$ and $8 x$ .
Their difference is $115$ .
Thus $8 x - 3 x = 115$
$\Rightarrow 5 x = 115$
$\Rightarrow x = 23$
Largest number is $8 x = 8$ $\times$ $23 = 184$ .

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