What could be the dates, if guy spent $63 in continuous 5 days? 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 ?
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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.
Case 2)
now the other possibility is such that month changes after some daysthus there can be few possibilities
A) x + (x+1) + (x+2) + (x+3) + 1 = 634x = 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 the dates were 28,29,1,2,3
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 daysthus there can be few possibilities
A) x + (x+1) + (x+2) + (x+3) + 1 = 634x = 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 the dates were 28,29,1,2,3
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