Translate this problem into numbers?

Question

I've been working at it for hours... ugh! I was sick today and this homework is due on Monday according to my friend.

ABCDE

x4

_______

EDCBA

Answer 1

ughhhh...im lost

abcdefghijklmnopqrstuvwxyz now i know my abc's next time wont you sing with me

Answer 2

You already know A is 2, but let me run through it.  Since the two numbers have the same number of digits, A must be either 1 or 2.  If A were larger, four times it would add an extra digit to the answer.

Given that, we know that anything times 4 is an even number.  Since A is the last digit in the answer, it must be even, so A must be 2.

E is a single digit.  The result of multiplying it by 4 is a number with 2 in the one's place.  E could be 3 (3 * 4 = 12) or 8 (8 * 4 = 32), but those are the only possibilities.  Since E is the first digit of the answer, we know that we get it by taking 4 * A.  A is 2, so E must be 8.

This tells us that 4 * B must be less than 10, because otherwise we wouldn't get 8 for the first digit of the answer.  It would be 8 + whatever the ten's digit result of 4 * B would be.  That means B must be 1 or 2, since anything larger would give a product greater than 10.  Since we know A is 2, B must be 1.

We know that 4 * E = 32, so we know that 4 * D + 3 must give us a number with B as the one's digit, i.e. 1 as the one's digit.  The only possibility is D = 7:  4 * 7 + 3 = 28 + 3 = 31.

At this point, we have  21C78 * 4 = 87C12.  Since we have the same digit in the middle, it must be the case that 4 * C + 3 (the 3 from the 31 we got last paragraph) must have a one's digit of C.  Trying all of the possibilities, we find C = 9:  4 * 9 + 3 = 36 + 3 = 39.  So:

21978 * 4 = 87912.  Grab a calculator, check it, and by golly it works.

Please, no applause.  Money would be fine.  :)

Answer 3

do your summer homework!!

Answer 4

B= Bear up a tree.

Answer 5

21978 * 4 = 87912

Answer 6

You call this Math when you`re using letters!!!!!!!!!!!!!