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UKMT Junior Mathematical Challenge, 2021 Difficulty 3.0 AMC 10/12 Find the answer United Kingdom
Four different positive integers p , q , r , s p, q, r, s p , q , r , s ( 9 − p ) ( 9 − q ) ( 9 − r ) ( 9 − s ) = 9 (9-p)(9-q)(9-r)(9-s) = 9 ( 9 − p ) ( 9 − q ) ( 9 − r ) ( 9 − s ) = 9 p + q + r + s p+q+r+s p + q + r + s
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