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UKMT Intermediate Mathematical Challenge, 2017

Algebra Difficulty 2.0 Junior Find the answer United Kingdom

The combined age of Alice and Bob is $39$ . The combined age of Bob and Clare is $40$ . The combined age of Clare and Dan is $38$ . The combined age of Dan and Eve is $44$ . The total of all five ages is $105$ . Which of the five is the youngest?

(A) Alice (B) Bob (C) Clare (D) Dan (E) Eve

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