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Omni-MATH / The pairwise products ab,bc,cd, and da of positive integers a,b,c, and d are 64,88,120, and 165 in some order. Find a+b+c+d.

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problem

The pairwise products ab,bc,cda b, b c, c d, and dad a of positive integers a,b,ca, b, c, and dd are 64,88,12064,88,120, and 165 in some order. Find a+b+c+da+b+c+d.
Plain-text mathematical notation (without MathML)
The pairwise products ab,bc,cd, and da of positive integers a,b,c, and d are 64,88,120, and 165 in some order. Find a+b+c+d.
Original LaTeX notation
The pairwise products $a b, b c, c d$, and $d a$ of positive integers $a, b, c$, and $d$ are $64,88,120$, and 165 in some order. Find $a+b+c+d$.

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