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When, 3+5+6 = 151872 5+5+6 = 253094 5+6+7 = 303585 5+5+3 = 251573,then, 9+4+7 = ?

SherlockHolmes Expert Asked on 24th August 2015 in

PROCESS-

a+b+c
First 2 digits    =   a*b
Next 2 digits    =   c*a
Last 2 digits     =   Reverse of (((a*b)+(a*c))-c)

Solution-

3+5+6
First 2 digits    =   a*b                                                        =    15
Next 2 digits    =   c*a                                                         =    18
Last 2 digits     =   Reverse of (((a*b)+(a*c))-c)     =    Reverse(15+18-6) = Reverse(27)  = 72
Final value 151872

Similarly,
For Given Question –

9+4+7

First 2 digit = 36
Next 2 Digit = 63
Last Digits   = 29

So, Solution – 366329

SherlockHolmes Expert Answered on 24th August 2015.

Nice.  The first four digits were easy.  An alternative for the last two digits is:

11a – 16b + 7c + 77

but that gives 161 for 9+4+7.  While this answer is consistent, it’s inelegant and unsatisfactory:

x = 10000ab + 100ac + 11a -16b + 7c + 77

It yields 9 + 4 + 7 = 366461

So while 366461 is *an* answer, it is not the best answer.

on 22nd October 2015.

(Y)

on 23rd October 2015.

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