I don't understand how to do this math problem. 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."





That's the problem, but I need some help getting started, I haven't done this type of problem in a while. Can anyone help?

I don't understand how to do this math problem. A * [(B + C)(D - E) - F(G*H) ] / J = 10?
You're the second person to ask this question, with the same two typos.. weird.


Anyway, theres not a huge amount to do but guess and check possibilities, until you find the answer is 256973148.
Reply:The key here is understanding that each variable is a UNIQUE, SINGLE-DIGIT number. I'd suggest plugging in (from the equations you are given) 1 + B for C and 3 + G for H. You already know from this that B has to be at most 8 and C at least 2, G at most 6 and H at least 4. You'll get...





A * [(2B+1)(D - E) - F(3G + G*G)] / J = 10





That's a start. The key is that they are UNIQUE and SINGLE-DIGIT. Without knowing that, solving this would be impossible.
Reply:use BODMAS or PEDMAS


A*[BD-BE+CD-CE-FGH]/J=10


ABD-ABE+ACD-ACE-AFGH=10J


now substitute the values and find the unknowns


finally multiply the values of A,B,C,D,E,F,G ,H and J to get


ABCDEFGHJ
Reply:These people are all asking the same question because it's the current Lenny Conundrum on the Neopets website
Reply:This is the third time that this question has been asked!?!?!





It's a tough one, too.





I'm taking it to work with me and asking my colleges to help me out on it.





Ah-HA! Typo. That's it!





But someone "did" crack this CHALLENGE Question.





So here's the answer. . .





http://answers.yahoo.com/question/index;...





ANSWER: ABCDEFGHJ = 25,693,148





A=2


B=5


C=6


D=9


E=7


F=3


G=1


H=4


J=8