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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.

2006-12-01 11:16:42 · 5 answers · asked by Anonymous in Science & Mathematics Mathematics

5 answers

ABCDEFGHJ
267953148

2 * [(6+7)(9-5) - 3*1*4]/8 = 10
2 * [(13*4) - 12] /8 = 10
2 * [52-12] /8 =10
2 * 40/8 = 10
2 * 5 = 10

NOW CAN WE GO GET A PIZZA ???

2006-12-01 14:11:36 · answer #1 · answered by tomkat1528 5 · 0 0

List down some constraints and some guesses

Basically.... B and C have to be 1 number away
1,2... 2,3....
G and H have to be 3.
1,4.....2,5

So write your 1-9 and cross off the numbers you throw in.

Also you need an answer as a positive number.
You're goign to want to keep F..G...and H small

A/J....you're going to want to be 1/2 or 2
so 1 & 2
2& 4
3& 6
4& 8

Try to solve for inside the brackets so the number is
5 or 20.

There are other possiblities.....multiplying by dividing by 3 or 4.
so
So i'd forget about A/J at first

I'd type this into an excel worksheet and then play around with teh numbers...quicker calculations


Hope this helps

2006-12-01 11:41:06 · answer #2 · answered by My name is not bruce 7 · 0 0

i think of maximum each physique has responded it for ya... yet just to reestablish: 7/12 + 3/4 is comparable to 7/12 + 9/12 which equals sixteen/12 it is comparable to 4/3 it is comparable to a million a million/3 :)

2016-12-10 20:03:07 · answer #3 · answered by ? 4 · 0 0

You have 9 letters and nine digits. It will take some trial and error to figure it out...

2006-12-01 11:19:00 · answer #4 · answered by Puzzling 7 · 0 0

a{(B + C)(D - E)- F(G x H)] / J = 10

Please provide more information.

- - - - - -s-

2006-12-01 12:01:28 · answer #5 · answered by SAMUEL D 7 · 0 0

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