Final answer:
To determine the value of the smallest number in a sequence of five consecutive numbers with a sum of 70, set up and solve an equation. The smallest number is 12.
Step-by-step explanation:
To determine the value of the smallest number, let's set up an equation using the sum of the consecutive numbers. If the smallest number is represented by x, then the sum of the five consecutive numbers can be expressed as x + (x + 1) + (x + 2) + (x + 3) + (x + 4) = 70.
Simplifying the equation, we get 5x + 10 = 70.
Subtracting 10 from both sides, we have 5x = 60.
Dividing both sides by 5, we get x = 12.
Therefore, the value of the smallest number is 12.