Main Answer:
The greatest possible value of
is 63, as it's the highest multiple of 7 below 70, satisfying the conditions.
Step-by-step explanation:
In this problem, we are looking for the greatest possible value of a positive integer
that is divisible by 7 and less than 70. To find this, we need to consider the highest multiple of 7 that is less than 70. The multiples of 7 are 7, 14, 21, 28, 35, 42, 49, 56, and 63. The greatest among them that is less than 70 is 63. This is because if we go beyond 63, we would exceed the given constraint of
being less than 70. Therefore, the greatest possible value of
is 63.