A list of six positive integers, p, q, r, s, t, u satisfies p < q...

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A list of six positive integers, p, q, r, s, t, u satisfies p< q < r < s < t < u. There are exactly 15 pairs ofnumbers that can be formed by choosing two different numbers fromthis list. The sums of these 15 pairs of numbers are: 25, 30, 38,41, 49, 52, 54, 63, 68, 76, 79, 90, 95, 103, 117. Which sum equalsr + s?

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4.3 Ratings (816 Votes)

The Big Idea Because p q r s t and u are given to us in order of size we should actually be able to deduce whivh sum corresponds with which pair in at least a few ases if were lucky well be able match enough sums to pairs to determine which sum equals r s Of ourse since r and s are the middle numbers then wed expect their sum to be pretty much in the middle so 63 is probably a good guess sin e this is a multiple choice problem 63 is almost certain to be the wrong answer Lets get started Can we tell whi h of the pairs should give the smallest sum Yes Sin e p and q are the See Answer

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