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Question

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?
$72$
$74$
$82$
$70$

A

72

B

82

C

70

D

74

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Solution

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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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