(5 votes, average: 3.80 out of 5)One guy had a habit of spending the money as per the day of the month, for example he will spend $18 on 18th of the month.
Once he spent, $63 in continuous 5 days, What could be the dates ?
What was the first day ?
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Case 1)
lets assume all the days were of the same month, in that case
x + (x+1) + (x+2) + (x+3) + (x+4) = 63
5x = 53
x is coming out to be in decimal, which can not be
lets assume all the days were of the same month, in that case
x + (x+1) + (x+2) + (x+3) + (x+4) = 63
5x = 53
x is coming out to be in decimal, which can not be
Case 2)
now the other possibility is such that month changes after some days
thus there can be few possibilities
A) x + (x+1) + (x+2) + (x+3) + 1 = 63
4x = 56 => x = 14, but 1st cant come after 17th, so it is ruled out
B) x + (x+1) + (x+2) + 1 + 2 = 63
3x = 57 => x = 19, but again 1st cant come after 21, so it is ruled out as well
C) x + (x+1) + 1 + 2 + 3 = 63
2x = 56 => x = 28, this is possible for the month with 29 days, i.e. February of leap year
so thee dates were 28,29,1,2,3
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28th feb + 29th feb + 1st march + 2nd march + 3rd march
28,29,1,2,3…..it was leap year!