A, b, c are non negative integerssuch that 28a + 30b + 31c =365. Then a + b + c is:
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By simple observation we can tell that this question refers to a calendar.
In a calendar, number of months with 28 days = 1 (February)
Number of months with 30 days = 4 (April, June, September, November)
Number of months with 31 days = 7 (January, March, May, July, August, October and December)
28 × 1 + 30 × 4 + 31 × 7 = 365
⇒ a = 1, b = 4, c = 7
⇒ a + b + c = 12
In a calendar, number of months with 28 days = 1 (February)
Number of months with 30 days = 4 (April, June, September, November)
Number of months with 31 days = 7 (January, March, May, July, August, October and December)
28 × 1 + 30 × 4 + 31 × 7 = 365
⇒ a = 1, b = 4, c = 7
⇒ a + b + c = 12
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