Question 15

If $$π‘Ž, 𝑏, 𝑐, 𝑑$$ are positive integers such that $$17(π‘Žπ‘π‘π‘‘ + π‘Žπ‘ + π‘Žπ‘‘ + 𝑐𝑑 + 1) = 20(𝑏𝑐𝑑 + 𝑏 + 𝑑),$$ find $$a^{2}+b^{2}+c^{2}+d^{2}$$.


Correct Answer: 31

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