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Three in, one out (Posted on 2013-04-29) Difficulty: 2 of 5
The average age of our group of n people was 37 yrs at the end of the previous month.

This month 3 new members enrolled (aged 33, 38, and 40 yrs) and one member (aged m yrs) left.

Now the average age of our group became lower by 18 months.

Given that both m and n are square numbers, find their values.

No Solution Yet Submitted by Ady TZIDON    
Rating: 3.5000 (2 votes)

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Solution Solution Comment 5 of 5 |

If the birthday falls on the particular month only then the age is incremented else it remains the same then

m=1.5n+40+x( is the number of people whose birthday fall on this month ) ( i.e. less than n )

solving for square numbers for n, m & x we get

  • 4,49,3
  • 16,64,0
  • 36,100,6
  • 36,121,27
  • 64,144,8

etc.

 


  Posted by Salil on 2013-04-30 06:56:18
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