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Aptitude · Q12

Problems On Numbers

Competitive Exams · Aptitude · question 12

Q12

The product of two numbers is 120 and the sum of their squares is 289. The sum of the number is:

A.
20
B.
23
Answer
C.
169
D.
None of these

Answer: Option B

Solution

Answer: Option B
Solution:
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 =   = 23