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UKMT Grey Kangaroo, 2017

Algebra Difficulty 2.0 Junior Find the answer United Kingdom

Ellie wants to write a number in each box of the diagram shown. She has already written in two of the numbers. She wants the sum of all the numbers to be 35, the sum of the numbers in the first three boxes to be 22, and the sum of the numbers in the last three boxes to be 25. What is the product of the numbers she writes in the shaded boxes?

(A) $0$ (B) $39$ (C) $48$ (D) $63$ (E) $108$

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