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UKMT Intermediate Mathematical Challenge, 2016

Algebra Difficulty 1.0 Junior Find the answer United Kingdom

The sum of two numbers aa and bb is 77 and the difference between them is 22. What is the value of a×ba \times b?

(A) 8148\frac{1}{4} (B) 9149\frac{1}{4} (C) 101410\frac{1}{4} (D) 111411\frac{1}{4} (E) 121412\frac{1}{4}

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