Help with math?

Question

abcde
x 4
_____
edcba

Answer 1

Since they are both 5 digit numbers, a < 3 (as a >= 3 means e > 10 leading to a 6th digit).

a must also be even, as any number x 4 is even (in the units column). And if a = 0, e must be 0 (as only 0 * 4 = 0), and since the numbers must be different, this is impossible.

a = 2

In the units column e * 4 = 2 therefore e = 3 or 8. However, in the 10,000s column, e must be greater than 3, therefore e = 8

2bcd8
x4
8dcb2

Now move to the 1,000s column. b * 4 = d. Since there is no carry over, again b < 3. And as 2 is already assigned. b < 2.
In the 10s column, b in the answer includes 3 carried over from the units, so b must be odd. Therefore b = 1.

21cd8
x4
8dc12

To get a 1 in the 10s column of the answer (remembering the 3 carried forward from the units) you need a number that, multiplied by 4, ends in 8. There are only two; 2 and 7. 2 is already assigned, so d = 7

21c78
x4
87c12

Finally, remembering that 3 is carried over from the 10s column, you need a number that, multiplied by 4, ends in 3 less than itself i.e. 9

21978
x4
87912

incidentally, with these numbers

abccde
x4
edccba

abcccde
x4
edcccba

etc. etc.

Answer 2

i'm maths instructor sending you this guidance: a million) do no longer restoration special time, 2) interest is the motivating element to assessment arithmetic. 3) very maximum intense element to be stated is "practice Examples and workouts in effortless terms. 4) do no longer bypass over any financial ruin. 5) while you're a pupil of state board,do no longer study something from out area the text fabric e book. 6) Refer previous 365 days questions. 6) if ISC, you ought to refer extra books. 7) interest and problematic artwork with effective could carry you 100p.c.successes

Answer 3

When you have five unknowns, You should have five independent equations to solve the unknowns.When you say a,b,c,d and e, they are all different integers. The number can not start with zero. Even if 'a 'is one 'e 'is five , it does not work out. Perhaps the teacher wants you to understand that this can not happen.

Answer 4

Your teacher is silly!

(Oh, the line is "over", not equals. If so, the first guy is right, but you should have written it as:

(abcde x 4) / edcba

for clarity.)

Answer 5

ABCDE X 4= EDCBA

ABCDE=21978

Answer 6

wow thats an over? spend ten minutes to figure the equation before i read it was an over

Answer 7

4 , the abcde all cancels

Answer 8

= 4(abcde) / (edcba)
= 4 * 1
= 4

Answer: 4

Answer 9

hey this is not mkng any sense
at all