MathematicsTwo positive numbers are differ by 2 and their product is 360. Find the numbers.

Two positive numbers are differ by 2 and their product is 360. Find the numbers.


  1. A
    20 and 18
  2. B
    4 and 12
  3. C
    2 and 5
  4. D
    3 and 88 

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    Solution:

    Given that two positive numbers are differ by 2 and their product is 360.
    Let the two numbers be x and y.
    According to the question,
      xy=2 1  
     Also,
      xy=360 2   x= 360 y   Putting the value of x= 360 y   in equation (1).
    360 y y=2  
    360 y 2 =2y  
    y 2 +2y360=0  
    y 2 +20y18y360=0  
    y y+20 18 y+20 =0  
    y18 y+20 =0 y=18 or y=20  
    But y=-20 is not possible as the given numbers are positive.
    So, y=18.
    Therefore,
    x= 360 y   x= 360 18 x=20   Hence, the two numbers are 20 and 18.
    Hence, option (1) is correct.
     
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