For which values of A the system has at least one solution

Is it true that product of 3 consecutive natural numbers is always divisible by 6? justifyyour answer

Jenisey has $24 to spend on seven pencils. after buying them she had $10. how much did each pencil cost.?

There are 3232 forwards and 8080 guards in leo's basketball league. leo must include all players on a team and wants each team to have the same number of forwards and the same number of guards. if leo creates the greatest number of teams possible, how many guards will be on each team?