I’m thinking of a 2-digit number. It is a common multiple of 2&7. It’s between 20&60. The digit in the tens place is twice that of the digit in the ones place. What is the number I’m thinking of?

Answer 1

To find the number that meets all these conditions, we first need to find the common multiples of 2 and 7 in the range of 20 to 60.

Multiples of 2: 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, and 60.
Multiples of 7: 21, 28, 35, 42, 49, and 56.

From the list above, we can see that the only number that is a multiple of both 2 and 7 is 28.

Now we know that the digit in the tens place is twice that of the digit in the ones place. Let's consider all the two-digit numbers with 8 in the tens place:

18, 28, 38, 48, 58, 68, 78, 88, and 98.

Among all these numbers, only 28 is a multiple of both 2 and 7 and falls within the range of 20 to 60.

Therefore, the number you are thinking of is 28.