Question

How many positive integers less than 100 and divisible by 3 are also divisible by 4?

Answer 1

Answer:

8

Step-by-step explanation:

LCM of 3 and 4 us 12

So,

12,24,36,48,60,72,84,96

These are the number divisible by 3 and 4 and these are less than 100

Answer 2

There are 8 positive integers less than 100 and divisible by 3 as well as 4.

Step-by-step explanation:

To find the numbers divisible by both 3 and 4, we need to actually find the numbers divisible by 12.

Thus, we need to find all those numbers that are multiples of 12 (since $3 \times 4$is 12) and is less than 100.

• $12 \times 1 = 12$
• $12 \times 2 = 24$
• $12 \times 3 = 36$
• $12\times4 = 48$
• $12 \times 5 = 60$
• $12\times 6 = 72$
• $12 \times 7 = 84$
• $12 \times 8 = 96$

Hence, there are 8 positive integers (12, 24, 36, 48, 60, 72, 84, and 96) that are less than 100 and divisible by 3 as well as 4.