SOLUTION: If a no. Is divided by 3,7&11 the remainders are 1,6&5 respectively. Then find the number.

Algebra ->  Divisibility and Prime Numbers -> SOLUTION: If a no. Is divided by 3,7&11 the remainders are 1,6&5 respectively. Then find the number.       Log On


   



Question 843441: If a no. Is divided by 3,7&11 the remainders are 1,6&5 respectively. Then find the number.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
If a no. Is divided by 3,7&11 the remainders are 1,6&5 respectively.
Then find the number.
:
The number is 181, I couldn't come up with a reasonable paper and pencil method.
I put the following equations into the my graphing a calc and scanned the table to find 3 integer solutions for y, for a single value of x
y1 = %28x-1%29%2F3
y2 = %28x-6%29%2F7
y3 = %28x-5%29%2F11
:
When x = 181
y1 = 60
y2 = 25
y3 = 16
:
Not sure this is legitament method, but no one else did either, so there it is.