Question

The greatest common factor of 35 and z, some unknown positive integer, is 7. There are two possible values for z between 20 and 30. What is the difference between these two values

Answer 1

Explanation:

The greatest common factor (GCF) of 35 and z is given as 7. This means that both 35 and z are divisible by 7.

Since we are looking for two possible values of z between 20 and 30, we need to find the multiples of 7 within this range.

Multiples of 7 between 20 and 30:

21, 28

Therefore, the two possible values for z are 21 and 28.

To find the difference between these two values, we subtract the smaller value from the larger value:

28 - 21 = 7

Therefore, the difference between the two possible values of z is 7.