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Algebra
a, b, c are non negative integers such that 28a+30b+31c=365. Then a+b+c is?
a)13 b)> 13 c)
Read Solution (Total 11)
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- ans is always 12.
here a=1 i.e february.
b=4 (april,june,sept,nov)
c=7 (jan,march,may,july,aug,oct,dec) - 12 years agoHelpfull: Yes(128) No(2)
- 12 is the Answer.
- 12 years agoHelpfull: Yes(12) No(3)
- Here, a + b + c = 12
Explanation :
a = 1, because in a month of twelve only Feb has 28 days
b = 4, there are four months namely April,June,Sep and Nov having 30 days
c = 7, there are 7 months namely Jan,Mar,May,Jul,Aug,Oct and Dec having 31 days
So, a + b + c = 1 + 4 + 7 = 12. - 9 years agoHelpfull: Yes(8) No(1)
- This is how I solved it;;
28a+30b+31c=365
28a+(28+2)b+(28+3)c=365
28(a+b+c)+(2b+3c)=365
if suppose 2b+3c is zero (suppose)
then 365/28 is 13.something
then 13*28=364
365-364=1
we cannot get 1 with 2a+3b
so lets try 12
12*28=336
365-336=29
we can get 29 with 2a+3b in this form
2*4+3*7
so b=4 c=7 and we assumed a+b+c=12 so a = 1
put these values in the equation and it satisfies
so the value of a+b+c=12
:) - 7 years agoHelpfull: Yes(2) No(1)
- please explain question
- 9 years agoHelpfull: Yes(1) No(0)
- a=1,b=7,c=4 according to monthly days
- 9 years agoHelpfull: Yes(0) No(0)
- yes bro..12 is the correct answer..
- 9 years agoHelpfull: Yes(0) No(3)
- put a=0 , b=7, c=5. it makes 0+210+155=365. so correct answer is 12
- 8 years agoHelpfull: Yes(0) No(1)
- simplify the given equation as 30(a+b+c)+2a+c=365
and then check for (a+b+c)=14,13,12,11
and finally you got a valid case for 12.
so,answer is 12
- 8 years agoHelpfull: Yes(0) No(0)
- 1+4+7 as 12 months in year make 365 days
- 8 years agoHelpfull: Yes(0) No(0)
- In a calender,
Number of months having 28 days = 1
Number of months having 30 days = 4
Number of months having 31 days = 7
28 x 1 + 30 x 4 + 31 x 7 = 365
Here, a = 1, b = 4, c = 7.
a+b+c = 12 - 6 years agoHelpfull: Yes(0) No(0)
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