Question

Sam and Carlos are bowling with plastic pins in Sam's living room. Remarkably, Sam knocks down 8 pins on every bowl, and Carlos knocks down 9 pins on every bowl. At the end of the day, Sam and Carlos have knocked down the same total number of pins. What is the least number of total pins that Sam and Carlos could have each knocked down?

Answer 1

72

Explanation:

Answer 2

ANSWER


`72`

EXPLANATION

It was given in the question that,

"Sam knocks down 8 pins on every bowl"

This means that, Sam's bowling will move in multiples of 8. That is,


`8,16,24,42,...`

Also, "Carlos knocks down 9 pins on every bowl".

His bowling will also be in multiples of 9, which is,


`9,18,27,36,45,...`

Sam and Carlos will knock down the same total number of pins. The least of them is the least common multiple of 8 and 9, which is

`72`