Last year+This year!

Number Theory Level pending

If

2+3=8,

3+7=27,

4+5=32,

5+8=60,

6+7=72

find:

2014+2015

8117679 8112339 8112239 8112769 8112329 8113292 8112469 8112392

Prateek Mehra by Prateek Mehra , 22, India

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4 solutions

Mohit Khanwale
Feb 8, 2015

The simplest logic I think is 2014 × 2015 +(2014×2013)

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Ratnadip Kuri
Jan 11, 2015

I use simple logic as if the term is x+y then i did x*(x+y-1)

such that:

2*(2+3-1)=8

3*(3+7-1)=27

4*(4+5-1)=32

. . .

2014*(2014+2015-1)=8112392

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Prateek Mehra
Jan 10, 2015

Take the numbers on the left as a and b,then do: a*(a+b)-b

For Example:

2*(2+3)-2=8

3*(3+7)-3=27

Therefore: 2014*(2014+2015)-2014=8112392

Reply if you have any doubts.

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Kundan Patil
Jan 10, 2015

Just a simple logic.....Every even of two no. In given addition perfectly divided by the of given addition . ....2014 must be divisible in any of the options. .....which is 1st option

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