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.
2006-12-05 02:59:58 · 9 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
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.
2006-12-05 22:22:23 · answer #1 · answered by Lavender B 2 · 0⤊ 0⤋
this is basic algebra...
you are given this equation: A * [(B + C)(D - E) - F(G*H) ] / J = 10
and you also know that c-b=1 and h-g=3...
so, expand the equation and arrange it so as to point out the c-b and h-g... having done that, insert in the value for c-b=1 and h-g=3... and solve the equation...
also, in algebra... abc equals to a times b times c, that is, 4 times 2 times 7...
all the best!
2006-12-05 11:08:12 · answer #2 · answered by I need a vacation! 4 · 0⤊ 0⤋
so you know that C - B = 1 and H - G = 3 ( i supose that " - " means minus) and dont know the rest, how about X * [ (1+2)(X-X)-X(2*5) ] / X = 10 or if C-B = C and B no plus nor minus : X * [(1+1)(X-X)-X(3*3)] / X = 10 now find out the Xes
2006-12-05 11:15:24 · answer #3 · answered by Anonymous · 0⤊ 0⤋
Well....... You know that the letters are all of the digits from 1 to 9. That's a start.
As my girlfriend always said, "Just play around with it and find out what happens." âº
Doug
2006-12-05 11:04:54 · answer #4 · answered by doug_donaghue 7 · 0⤊ 0⤋
yes
2006-12-05 11:07:43 · answer #5 · answered by Anonymous · 0⤊ 0⤋
no
2006-12-05 11:01:06 · answer #6 · answered by bkbarile 5 · 0⤊ 2⤋
no
2006-12-05 11:00:38 · answer #7 · answered by Joe D 1 · 0⤊ 2⤋
u find the answer ha ha....!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
2006-12-05 11:07:06 · answer #8 · answered by Arun 2 · 0⤊ 0⤋
please search first
http://answers.yahoo.com/question/index?qid=20061201204637AAMG4AH
2006-12-05 11:24:20 · answer #9 · answered by Anonymous · 1⤊ 0⤋