MATH
posted by Christine .
In the equation
4*ABCDE= EDCBA
each letter represents a different nonzero digit. Determines the sum
A+B+C+D+E
i don't know how to do this

start with E. 4e is 20 + A or 10+A or A.
but it has to be divisible by 4, so A is 4 or 2 or 6. Think that out.
if A is 4, then 4E is 24, or 4, which means E is 6, or 1
Now try those combinations for A and E, and work on the other letters. Because I am so helpful, look at the leading digits: IF A is 4, then can E be 6? Look at the first digit now 4A=E+10 or 20. But the number EDCBA is the same number of digits as ABCDE, so no carry is involved, so E cannot be 6. So E is 1, which means A is 4
Now work on the tens digit the same way. Have fun. 
The product of fivedigits number by four equal fivedigit number>A=1 or A=2.
The last digit of number 4E is A>A=2,E=8
4*21978=87912 
Hmmm. I agree.
Respond to this Question
Similar Questions

Calculus
In the multiplication shown below, the digits have been replaced by letters: different letters represent different digits, and the same letters represent the same digits. What was the origianl multiplication? 
Math
Each letter in the equation below represents a different digit from the set {1,3,4,7,8}. Find the value of each letter to make the equation true. ADD +MAD _____ SUM 
5th grade math
How do you do letter equations? "Each letter in the equation below represents a different digit from the set (1, 3, 4, 7, 8). find the value of each letter to make the equation true. Each letter must represent only one number throughout 
math
If 3 different digits represent 3 different letters and each time a letter appears it represents the same digit how do i find the sum of the 3 digits represented? 
Math
Each letter in the subtraction problem below represents a different digit from 0 through 9.The digits 3 and 5 don't apear. replace each letter so the subtraction problem is true. GRAPE  PLUM =APPLE 
Math
A warranty identification number for a certain product consists of a letter of the alphabet followed by a sevendigit number. How many possible identification numbers are there if the first digit of the sevendigit number must be nonzero? 
Math
Someone please help me! please. Each letter represents a different digit. can you find the digit each letter represents? 
math
Each time the same letter appears it represents the same digit.Different letters represent different digits.C+C=D;D+E=17;A+2C=D;2B+C=8.Find the sum A+B+C+D+E 
Math
A license plate manufacturer is punching plates with pattern: L#L##LL where L represents a letter and a # represents a digit from 0 through 9.If a letter can be any letter from A to Z except,O, how many different license plates are … 
math
There are eight different twodigit numbers: AD, BA, BG, CE, DB, DH, EF and FC. Each is less than 70 and divisible by 7. Each of the distinct letters represents a different digit. The same letter represents the same digit. Given E …