Posted by **Izzy** on Monday, October 1, 2012 at 4:30pm.

Find a three digit number so that when the digita of the number Are added together the total is one fifth of the product of the digits

- Maths -
**Steve**, Monday, October 1, 2012 at 4:45pm
if the digits are a,b,c then

5(a+b+c) = abc

c = 5(a+b)/(ab-5)

so, ab must be greater than 5,

ab cannot be 6, since then a+b > 5

if ab=7, then 5(8)/2 = 20 > 10

if ab=8, then c = 5(6)/3 = 10 too big

if ab=9, then c=5(6)/4 = not integer

if ab=10, then c=5(7)/5 = 7

257: 2+5+7 = 14 = 2*5*7/5

## Answer this Question

## Related Questions

- math - Find a six-digit even number containing no zeros and no repeating digits ...
- maths - The product of the digits of a positive two-digit number exceeds the sum...
- algebra - It is a five digit whole number 1. It is a palindrome 2. It's ...
- Maths - The digits of a three digit number are in AP&their sum is 15.The number ...
- Algebra math. - 1) the sum of the digits of a two digit number is 9. The value ...
- algebra - the winninq three-digit number in a drawing for a door prize had the ...
- Maths - I have a three digit number such that the sum of the cubes of each digit...
- math - the product of my three digits is 30. when you add my ones digit and ...
- math - Can u please help me with this..this is my sons 6th grade work and im ...
- maths I need answer - The sum of the tens and ones digits of a 2-digit number is...

More Related Questions