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Three numbers...

Question

Three numbers are in the ratio 4 : 5 : 6 and their average is 25.The largest number is :

A

30

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B

32

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C

36

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D

42

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Solution

The correct option is A $30$
Let the numbers be $4 x, 5 x, 6 x$ .
$a v e r a g e = 25$
$\frac{4 x + 5 x + 6 x}{3} = 25$
$\frac{15 x}{3} = 25$
$x = 5$

Hence, the largest number is $6 \times 5 = 30$ .

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