I don't understand how to do this math problem. A * [(B + C)(D - E) - F(G*H) ] / J = 10?

Question

"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?

Answer 1

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.

Answer 2

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.

Answer 3

These people are all asking the same question because it's the current Lenny Conundrum on the Neopets website

Answer 4

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;_ylt=AvnsMpyNhtwrHV1JVMvXrE4jzKIX?qid=20061130045858AAB57A7

ANSWER: ABCDEFGHJ = 25,693,148

A=2
B=5
C=6
D=9
E=7
F=3
G=1
H=4
J=8

Answer 5

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