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
AnswerC.
169
D.
None of these
Answer: Option B
Solution
Answer: Option B
Solution:
Let the numbers be x and yThen, xy = 120 and x2 + y2 = 289
∴ (x + y)2 = x2 + y2 + 2xy = 289 + (2 x 120) = 529
∴ x + y = = 23