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Question

The sum of 2 numbers is equal to 20 and their difference is 25. The ratio of the two numbers is:
  1. 9 : 1
  2. 7 : 9
  3. 3 : 5
  4. 2 : 7
  5. None of the above


Solution

The correct option is A 9 : 1
Let number be x and y
Now, according to the question
x+y=25.......(1)xy=20.......(2)
On adding (1) and (2), we have
2x=45
x=452=22.5
From equation (1)
22.5+y=25
 y=2522.5=2.5
Required ratio = 22.5 : 2.5 = 9 : 1

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