You are confronted with the following formula:!?

Question

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.

Answer 1

There are 3 solutions for ABCDEFGHJ -

2 6 7 8 3 5 1 4 9
2 6 7 9 5 3 1 4 8
6 7 8 4 1 3 2 5 9

Answer 2

There is no mention regarding whether the numbers are positive or negative. If negative numbers are allowed, there are many answers, e.g.:
52-1712-215
52-1911-215

If negative numbers are not allowed, the C-B=1 equality will produce negative numbers for C if B is larger than zero, and zero is not allowed.

Answer 3

Well, I tried.
I tried, but was unsuccessfully.

I got stumped at the following step:

(D - E)(B+C) = (10J + AFGH) / A

Anyone have any additions?

I checked, double & triple checked my steps and I still come out with (B+C) as a factor instead of (C-B).

I look forward to this discussion.

GOOD QUESTION.

I like it!

Catchy title, too. ;o}

Answer 4

Everyone's wrong so far.

It's 256973148 (in the order of ABCDEFGHJ)

It's supposed to be F ^ (G*H)