Maths Olympiad Prep

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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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Source: UK Mathematics Trust, licensed © UK Mathematics Trust; past papers published free at ukmt.org.uk. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.