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Question 26
If the number p is 5 more than q and the sum of squares of p and q is 55, then the product of p and q is
Solution
given, p = q+5, $$p^{2}+q^{2}$$ = 55
p-q = 5
$$(p-q)^{2}$$ = 25
$$p^{2}+q^{2}$$ - 2pq = 25
55 - 2pq = 25
-2pq = -30
pq = 15
so the answer is option C.
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