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Can You Figure This Out? A * [(B + C)(D - E) - F(G*H) ] / J = 10?
A * [(B + C)(D - E) - F(G*H) ] / J = 10
(D-E is a power; G*H is a power)
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.
SERIOUS ANSWERS ONLY!
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2 Answers
- 1 decade agoFavorite Answer
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.
enter the answer into the equation to prove it.
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