Answer :
Final answer:
To find the largest five-digit number divisible by 9 and 13, we need to find their least common multiple (LCM). The LCM of 9 and 13 is 117. Dividing 99,999 by 117 gives the largest five-digit number divisible by 117, which is 99,972.
Explanation:
To find the largest five-digit number that can be divided by both 9 and 13, we need to find the least common multiple (LCM) of these two numbers. The LCM is the smallest number that is a multiple of both 9 and 13.
The LCM of 9 and 13 is 117. To find the largest five-digit number divisible by 117, we divide 99,999 (the largest five-digit number) by 117 and multiply the quotient by 117. The result is 99,972.
Therefore, the largest five-digit numbers that can be divided by 9 and 13 is 99,972 (option A).
