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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