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Here it is- "You are confronted with the following formula:

A * [(B + C)(D - E) - F(G*H) ] / J = 10

Knowing that each variable is a unique, single-digit, nonzero number, and that C - B = 1, and H - G = 3, what is the number ABCDEFGHJ, where each letter is a digit? For example, if A = 4, B = 2, and C = 7, ABC would equal 427."


I will greatly appreciate it if ANYONE can find this answer!

2006-12-02 13:26:26 · 3 answers · asked by ? 1 in Science & Mathematics Mathematics

3 answers

You haven't copied the problem correctly - there are a couple of missing 'power' signs.

Its been asked here about 10 times in the last 3 days, thats how I know :)

The answer is 256973148; if you want some explanation, try searching through other others.

2006-12-02 13:31:10 · answer #1 · answered by stephen m 4 · 0 0

C-B=1
C= B+1 (which indicate that number B and C must be next to each other)
H-G=3
H=G+3
this make G*H must be 4 because if it is bigger than 4, the power will be too big since after power of 4, comes 10, 18, 28, 40 and 54.
so, G=1 , H=4.
A * [(B + C)(D - E) - F(G*H) ] / J = 10
A * [(B + C)(D - E) - F(1*4) ] / J = 10
this left number 2356789.
then [(B + C)(D - E) - F(1*4) ] = 10 J/A
J/A must be a number end with 0 and the only choice for that combination is
J = 6 8 6 9
A= 2 2 3 3
Because B and C next to each other , the sum of them must be an odd number. Consider that F will be extracted from them, it make F must also be an odd number.
So, just enter the left possible choice and you will get
256973148 as answer.
You can enter it into the equation to prove it.
As for rboatright's answer, i dont beleive that this question got that much answer so i try to enter it into the equation and more than half of them is wrong. maybe you enter a wrong formula into ur math calculator. and remember, 0 is not allowed.

2006-12-05 22:12:54 · answer #2 · answered by Lavender B 2 · 0 0

True it's a repeat, true it's a cheat, and not only that but the answer is non-unique as a 2 minute program proves....

Got it 134280697 10
Got it 134820697 10
Got it 145280369 10
Got it 145286039 10
Got it 145287039 10
Got it 145820369 10
Got it 145826039 10
Got it 145827039 10
Got it 178240369 10
Got it 178245039 10
Got it 178246039 10
Got it 178420369 10
Got it 178425039 10
Got it 178426039 10
Got it 245071369 10
Got it 245701369 10
Got it 256078149 10
Got it 256708149 10
Got it 312460589 10
Got it 312640589 10
Got it 523081476 10
Got it 523087146 10
Got it 523801476 10
Got it 523807146 10
Got it 578023149 10
Got it 578026143 10
Got it 578041693 10
Got it 578203149 10
Got it 578206143 10
Got it 578401693 10
Got it 589021473 10
Got it 589027143 10
Got it 589132476 10
Got it 589201473 10
Got it 589207143 10
Got it 589312476 10
Got it 623075149 10
Got it 623471589 10
Got it 623705149 10
Got it 623741589 10

2006-12-02 14:39:42 · answer #3 · answered by rboatright 3 · 0 1

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