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Question

The sum of the squares of three numbers is 138, while the sum of their products taken two at a time is 131. Their sum is:


Options:
A .  20
B .  30
C .  40
D .  None of these
Answer: Option A

Let the numbers be a, b and c.

Then, a2 + b2 + c2 = 138 and (ab + bc + ca) = 131.

(a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca) = 138 + 2 x 131 = 400.

 The Sum Of The Squares Of Three Numbers Is 138, While The S... (a + b + c) = 400 = 20.



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