Posted by **Anthony** on Sunday, September 26, 2010 at 9:57am.

I am thinking of a three-digit number. If you subtract 5 from it, the result is divisible by 5. If you subtract 6 from it, the result is divisible by 6 and if you subtract 7 from it, the result is divisible by 7. What is the smallest number that will satisy these conditions?

- Math -
**Reiny**, Sunday, September 26, 2010 at 10:30am
" If you subtract 5 from it, the result is divisible by 5" ----> number could be 5,10,15,20....

" If you subtract 6 from it, the result is divisible by 6 "

---> number could be 6, 12, 18 , ...

" if you subtract 7 from it, the result is divisible by 7"

---> number could be 7,14

so it must be a multiple of 5,6, and 7

5x6x7 = 210

check:

210 - 5 is divisible by 5

210-6 is divisible by 6

210-7 is divisible by 7

yup! It's 210

## Answer this Question

## Related Questions

- math - What are the divisibility short cuts that help you out? Odd numbers can ...
- math - Using the numbers 1 through 9 with no repeats, find a 9 number such that...
- Easy Math - The number of positive integers that are less than 500 and that are ...
- Math - The question is this: You know that a number is divisible by 6 if it is ...
- math - I am thinking of a number. If I add 4 to it, square the result, divide ...
- Math/Algebra - if you add one number divisible by n and one number not divisble ...
- 5th grade - I am a 3-digit number divisible by three my tens digit is three ...
- Math - I am a 3digit number divisible by 3. my tens digit is three times as ...
- INTRODUCTORY ALGEBRA - FOR HOMEWORK I HAVE TO DO A NUMBER TRICK BY PICKING A ...
- Maths - I’m a 4-digit number. My 1st 2 digits from the left are divisible by 5. ...

More Related Questions