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Four positive integers A, B, C and D have a sum of 36. If A+2 = B2 = C+2 = D+2,what is the value of the product ABCD?

 Jun 16, 2022
edited by hipie  Jun 16, 2022
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Since A + 2 = C + 2 = D + 2, A = C = D.

Since A + 2 = B - 2, B = A + 4.

 

Then A + (A + 4) + A + A = 36. i.e., A = 8.

Then A = C = D = 8 and B = 12. ABCD = 8^3 * 12 = 6144.

 Jun 16, 2022

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