Apple collecting

Luke, Peter, and Tibor compared how many kilograms of apples they had each collected. The arithmetic mean of Luke's and Peter's amounts was 10 kg more than Tibor's amount, and the arithmetic mean of Luke's and Tibor's amounts was 3 kg less than Peter's amount. Find the difference between the arithmetic mean of Peter's and Tibor's amounts and Luke's amount.

Final Answer:

x =  -7 kg

Step-by-step explanation:

(l+p)/2 = 10+t (l+t)/2 = p3  l+p = 20+2t l+t = 2p6  p = 20+2tl t = 2p6l  p = l  8/3 t = l  34/3  x = (p+t)/2  l  x = ( l  8/3+l  34/3)/2  l  x=(8/334/3)/2=7 kg



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