Anthmetic mean and sum of squares of two numbers are 6 and 90. Find the num-
bers
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let two numbers be p and q
(p+q)/2=6
p+q=12
p^2 + q^2 = 90
(p+q)^2=12^2=144
p^2+q^2 + 2pq = 144
90 + 2pq = 144
2pq = 144-90 = 54
(p-q)^2 = p^2 + q^2 - 2pq
(p-q)^2=90-54=36
p-q = 6
(p+q) +(p-q) =12+6=18
2p=18
p=9
p+q=12
9+q=12
q=12-9=3
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