Math Homework Question?

Question

Could anybody help me answer this question?

I would usually do this myself, but I have been working on this for hours...
Please help me if you can.


You have to figure out the "mystery" number.
Here are the clues given to help figure out what the number is.

-The number has six digits.
-The product of the 1st and 4th digit equals the last two digits.
-the 3rd digit is the product of the first two digits
-the 4th digit is the sum of the last two digits
-the 1st, 2nd, 3rd, and 4th digits are multiples of six.

Thanks for any of your help!

Answer 1

your 6 digit number is : a b c d e f
product of the 1st and 4th equals last two digits:
a * b = 10e + f

third digit is product of first two digits
c = a * b

4th digit is the sum of last two digits:
d = e + f

a, b, c, d are multiples of 6

ok so same as before, we know that a, b, c, d has to be 0 or 6.

since we know c = a * b, a * b can either be 0 * 0 or 6 * 6...but 6*6 = 36 and 36 is two digits so it has to be zero
so
a = b = c = d = 0
e = 0 f = 0
magic number = 0 0 0 0 0 0

Answer 2

ok hope this helps http://www.studybuddy.com check it out!