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tmua.me Medium Set C Paper 2 · Q2

Paper 2Algebra

The positive real numbers aa and bb satisfy

a2+ab=12,b2+ab=18.a^2+ab=12,\qquad b^2+ab=18.

What is the value of a+ba+b?

A6\sqrt6
B15\sqrt{15}
C30\sqrt{30}
D12+18\sqrt{12}+\sqrt{18}
E3030

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