Question

Both 2 and 5 are common factors of a number. The number is between 101 and 118. What is the number? Give a reason for your answer.

Answer 1

110, because it's the only common multiple of both 2 and 5 between 108 and 118.

Answer 2

The number would be 110.

Explanation:

Since, both 2 and 5 are common factors of a number.

Then the number must be divisible or multiple of LCM(2, 5) i.e. 10,

Now, the numbers is between 101 and 118.

102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118

Since, only 110 is multiple of 10,

Hence, the required number which has both 2 and 5 as its factor is 110.