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A + B + C + D

Math brain teasers require computations to solve.


Puzzle ID:#13954
Fun:*** (2.51)
Difficulty:*** (2.17)
Submitted By:mathemagicianus****




A, B, C, and D are all positive whole numbers. If A is to 2 as B is to 3; B is to 6 as C is to 8; and C is to 9 as D is to 12, what is the SMALLEST possible value for the sum: A + B + C + D ?

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A/2 = B/3 or 3A = 2B

B/6 = C/8 or 8B = 6C ;

C/9 = D/12 or 12C = 9D .

What's the smallest positive whole numbers that satisfies all three of the above equations?


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