Question

22 How many two digit numbers are there which are divisible by 6, 8 and 9​

Answer 1

Answer:

1 - 72

Step-by-step explanation:

Two digit numbers are from 10 to 99.

Two digit multiples of 6 are : 2,18,24,30,36,42,48,54,60,66,72,78,84,90,96

Two digit multiples of 8 are : 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96

Two digit multiples of 9 are : 18,27,36,45,54,63,72,81,90,99

From above, it is clear that only one number is the common multiple of 6,8 and 9 with two digits.

So the answer is one number and the number is 72.

Let’s solve the problem in another way,

The least common multiple (LCM) of two or more numbers is the smallest non-zero number that is a multiple of all the given numbers.

Find out LCM of 6.8 and 9.

The answer is 72.

Multiples of LCM will give the numbers which are divisible by 6,8 and 9.

In our case only 1 two-digit number is present.

So the answer is one number and the number is 72.

Hope it helps!