Quite the Logic...

Number Theory Level 1

If: 9+2+3 = 182733

4+5+7 = 202863

3+6+2 = 180618

Then, what is:

5+4+2 = ?


The answer is 201018.

Vamsi Saladi by Vamsi Saladi , 22, USA

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

3 solutions

B D
Apr 10, 2019

The logic is: a + b + c = a ∗ b + a ∗ c + ( a + b ) ∗ c . a + b + c = a * b + a * c + (a + b) * c. In our it is 5 + 4 + 2 = 5 ∗ 4 + 5 ∗ 2 + ( 5 + 4 ) ∗ 2 = 201018 5 + 4 + 2 = 5 * 4 + 5 * 2 + (5 + 4) * 2 = 20 10 18

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Lakshya Agarwal
Sep 13, 2014

9x2=18; 9x3=27; (9+2)x3=11;
So, 9+2+3=a+b+c; Answer=(a x b)(a x c)((a+b) x c) =(5 x 4)(5 x 2)((5+4) x 2)= 201018

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Antonis Karvelas
Jun 22, 2014

First, you have to notice that 9x2 is 18, 9x3 is 27 and 3(9+2) is 33, and if you combine the three numbers, you have 182733! Same logic for the rest, and then, 5x4=20, 5x2=10 and 2(5+4)=2x9=18, so the answer is 201018! Notice: the third example has a "slightly" different logic, as it multiplies 3x2 first, which could mean, if you think about it, that 102018 could also be a solution, but I could be wrong(either me or the problem).

0 Helpful 0 Interesting 0 Brilliant 0 Confused

Yes, i also got the solution the same way. Just couldn't get the order right.I thought that since all other answers were in ascending order the order of the answer should also be in ascending. But that wasn't right somehow.

Vibhash Chandra - 6 years, 10 months ago

well done both! there is no specific order; the answer is derived by using the order of the given numbers.

Vamsi Saladi - 6 years, 9 months ago

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...