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
C. 169
D. None of these
Answer: Option B
Solution(By Examveda Team)
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 = $$\sqrt {529} $$ = 23
This Question Belongs to Arithmetic Ability >> Problems On Numbers
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X2+y2+2xy=289
X2+y2=289-2xy
=289-240
=49
=7