The age of a father is to less than seven times the age of his son in three years the sum oftheir ages will be 52 if the sons presents age is S years which equation models this situation

The correct answer is:

(7s-2) + 3 + (s+3) = 52, or 8s+4 = 52.

Step-by-step explanation:

Since s is the son's age, "two less than seven times" the son's age would be represented by 7s-2. To represent this in 3 years, we would add 3: (7s-2) + 3. In 3 years, the son's age, s, would be represented by s+3. We are told that the sum of these ages will be 52; this gives us (7s-2) + 3 + (s+3) = 52.

To simplify this, combine like terms. 7s+s = 8s; - 2+3+3 = 4. This gives us 8s+4=52.