SOLUTION: This is my word problem. A lady has a number of eggs which when she groups them in groups of 2,3,4,5,6 she always has one left over but when she groups them in 7 she never has any

Question 779268: This is my word problem. A lady has a number of eggs which when she groups them in groups of 2,3,4,5,6 she always has one left over but when she groups them in 7 she never has any left over. I thought the number was 91 because it works with the equation with all of the numbers except for the number 4. I have tried all kinds of numbers ending in 1 but have had no success. Is this a solvable equation or am i just killing my brain. PLEASE WHAT IS THE ANSWER ????
Found 2 solutions by oscargut, psbhowmick:
Answer by oscargut(2103) (Show Source): You can put this solution on YOUR website!
The number is 301
If you have more questions i can see them if you contact me at: mthman@gmail.com
Thanks

Answer by psbhowmick(878) (Show Source): You can put this solution on YOUR website!
L.C.M. of 2,3,4,5,6 is 60.

Let the number be (60n+1).

This number has to be divisible by 7.

For n = 5, the number is 301. It is divisible by 7.

So your answer is 301.

Cheers!
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