Aptitude - Problems on Numbers - Discussion

Discussion Forum : Problems on Numbers - General Questions (Q.No. 12)
12.
The product of two numbers is 120 and the sum of their squares is 289. The sum of the number is:
20
23
169
None of these
Answer: Option
Explanation:

Let the numbers be x and y.

Then, xy = 120 and x2 + y2 = 289.

(x + y)2 = x2 + y2 + 2xy = 289 + (2 x 120) = 529

x + y = 529 = 23.

Discussion:
12 comments Page 2 of 2.

Abhishek Patel said:   1 decade ago
Can anybody make me understand, why in the given solution we are adding 240 in 289 whereas actually it should be deducted from 289.
(1)

Kumar said:   1 decade ago
The question makes no sense yaar. What does the question maker mean by saying 'sum of their sqaures'. A sense English means x^2+y^2 , but the solution shows (x+y)^2 [20+3] when the given question should have been like 20^2+3^2. The question should have been 'square of their sum' and not 'sum of their squares'.
(1)


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