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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.

2006-12-02 23:35:17 · 4 answers · asked by Micah 1 in Science & Mathematics Mathematics

4 answers

I suppose this has been asked 5 times already. The answer is the same each time. Use 'Similar Questions' and your sixth sense. Maybe then, a loss of 5 points needn't be incurred each time.

2006-12-02 23:42:10 · answer #1 · answered by Akilesh - Internet Undertaker 7 · 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.

2006-12-06 06:01:59 · answer #2 · answered by Lavender B 2 · 0 0

This makes my head hurt just looking at it.

2006-12-03 07:42:44 · answer #3 · answered by Just Me 2 · 0 0

it can only be solved by trying, no meaning to solve this question

2006-12-03 07:51:32 · answer #4 · answered by abc 1 · 0 0

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