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Zetta Paper 1 · Q16

Paper 1Algebra

aa, bb and cc are positive integers so that

ac+ab+1ba+bc+1=17.\frac{\frac ac+\frac ab+1}{\frac ba+\frac bc+1}=17.

How many solutions are there to the inequality

a+2b+3c≤50?a+2b+3c\le50?
A1414
B1515
C1616
D1717
E1818
F1919
G00

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