Evaluate
2 0 1 3 + 2 0 1 4 + 2 0 1 5 .
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Nice solution. But the problem overall was very easy
sum of numbers = middle number × total numbers
= 2014 × 3 = 6042
GOSH!
2 0 1 3 = 2 ∗ 1 0 3 + 0 + 1 ∗ 1 0 + 3
2 0 1 3 = 2 ∗ 1 0 3 + 0 + 1 ∗ 1 0 + 3
2 0 1 3 = 2 ∗ 1 0 3 + 0 + 1 ∗ 1 0 + 3
Adding them together, 2 0 1 3 + 2 0 1 4 + 2 0 1 5 is equal to 1 0 3 ( 2 + 2 + 2 ) + 1 0 2 ( 0 + 0 + 0 ) + 1 0 ( 1 + 1 + 1 ) + 1 0 0 ( 3 + 4 + 5 ) , which is, in turn, equal to 6 0 4 2 . : D
Yeah!Real Hard work!:D
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Really? Was it hard for you? I found it quite easy. :D
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Quite hard!
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@Anik Mandal – Did you understand my solution? I will elaborate it if you want. :P
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@Satvik Golechha – I was just joking! Too easy a problem!
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@Anik Mandal – Oh! I got serius!!!!! Don't joke like this :D
are u mad...........? this is the easiest and u make it the hardest........!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
just add people i guess it is'nt that hard ans = 6042
Just add the numbers no tricks 2013 + 2014 = 4027 and 4027 + 2015 = 6042
All I did was express everything in terms of the number 2013. Then, just use a property of distribution, and you're done! :)
2 0 1 3 + 2 0 1 4 + 2 0 1 5
2 0 1 3 + ( 2 0 1 3 + 1 ) + 2 0 1 5
2 0 1 3 + ( 2 0 1 3 + 1 ) + ( 2 0 1 3 + 2 )
2 0 1 3 + 2 0 1 3 + 2 0 1 3 + 1 + 2
3 ( 2 0 1 3 ) + 1 + 2
3 ( 2 0 1 3 ) + 3
3 ( 2 0 1 3 ) + 3 ( 1 )
3 ( 2 0 1 3 + 1 )
3 ( 2 0 1 4 )
6 0 4 2
2 0 1 3 + 2 0 1 4 + 2 0 1 5 = 3 × 2 0 1 4 = 6 0 4 2
In general n + ( n + 1 ) + ( n + 2 ) = 3 n + 3 = 3 ( n + 1 ) .The question fits this form(which means that 2 0 1 4 = n + 1 ) so setting 2 0 1 4 in the L.H.S of equation,we get 3 ( 2 0 1 4 ) = 6 0 4 2
S i m p l e m a t h o d 2 0 1 3 + 2 0 1 4 + 2 0 1 5 = 2 0 1 4 + 2 0 1 4 + 2 0 1 4 = 6 0 4 2
In first line (I think) you mean "method" not "mathod".
let x be 2013 then x+x+1+x+2 =3x+3 =3*2013+3 =6039+3 =6042
2013+2014+2015=\ 2010+2010+2020=6040\ 6040+3=6043\ 6043+4=6047\ 6047-5=6042\ 2013+2014+2015=6042
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2 0 1 3 + 2 0 1 4 + 2 0 1 5 = ( 2 0 1 4 − 1 ) + 2 0 1 4 + ( 2 0 1 4 + 1 ) = 2 0 1 4 − 1 + 2 0 1 4 + 2 0 1 4 + 1 = 2 0 1 4 + 2 0 1 4 + 2 0 1 4 − 1 + 1 = 3 × 2 0 1 4 = 6 0 4 2 .