Aptitude - Problems on Numbers - Discussion

Discussion Forum : Problems on Numbers - General Questions (Q.No. 7)
7.
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:
20
30
40
None of these
Answer: Option
Explanation:

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.

(a + b + c) = 400 = 20.

Video Explanation: https://youtu.be/qmJ-0X8j_xQ

Discussion:
10 comments Page 1 of 1.

Kailash said:   1 decade ago
Why not it is (a + b + c)^2??

SAI KUMAR said:   1 decade ago
How to find a, b, c values? If asked in the question?
(1)

Yashable said:   1 decade ago
And the following three numbers are 8, 7, 5 which is 64+49+25 = 138.

And also 8+7+5 = 20.
(2)

Bhupathi said:   1 decade ago
Any more easiest method?

Geetha said:   1 decade ago
They ask just sum why you take (a+b+c)^2?

Najar said:   9 years ago
Please tell me the answer for this qestion in detail.

Johrge kutty said:   9 years ago
@KAILASH.

(A+B+C)^2 400
And they asked only sum.
ie (A + B + C) = sqrt(400) = 20.
(1)

Shiv said:   7 years ago
And the following three numbers are 8, 7, 5 which is 64+49+25 = 138.

And also 8+7+5 = 20.
(3)

Niya said:   7 years ago
What is about 131?

Akil said:   6 years ago
8 7 5.

8*7 + 7*5 + 5*8 = 131.
(1)

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