. The product of two numbers is 120 and the
sum of their squares is 289. The sum of the numbers is :
A: 20
B: 23
C: 16
D: None of these
Best Answer
Explanation:
Let the numbers be x and y
⇒xy=120
⇒x2+y2=289
⇒(x+y)2=x2+y2+2xy
⇒(x+y)2=289+2×120
⇒(xy)2=529
⇒x+y=√529
=23
Final Answer:
Hence, option (B) is correct.i.e 23
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