Three numbers are in the ratio $2 : 3 : 4$ . The sum of the largest and the smallest equals the sum of the third and $54$ . What is the largest number?

72

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74

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82

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70

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Solution

The correct option is A $72$
$2 x + 4 x = 3 x + 54$
or $x = 18$
$∴$ largest number $= 18 \times 4 = 72$ .

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