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?
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.