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Question

The product of two positive numbers is 120 and the sum of their square is 289. The difference between them is:
  1. 7
  2. 7
  3. 2
  4. 14

A
2
B
7
C
7
D
14
Solution
Verified by Toppr

xy=120
x2+y2=289
(x+y)22xy=289
(x+y)2=2892×120=49x+y=7
Using y=120xx+120x=7
x27x+120=0
(x+8)(x15)=0x=15 & y=8
Difference =158=7

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