Problem

1984 AHSME Problem 21

The number of triples (a, b, c) of positive integers which satisfy the simultaneous equations

ab+bc=44, ac+bc=23,

is

\mathrm{(A) \ }0 \qquad \mathrm{(B) \ }1 \qquad \mathrm{(C) \ } 2 \qquad \mathrm{(D) \ }3 \qquad \mathrm{(E) \ } 4

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.


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Category: AHSME
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