The age of a father is 2 less than 7 times the age of his son. in 3 years, the sum of their ages will be 52. if the son’s present age is s years, which equation models this situation?

Son’s present age, s = 6 years.

Step-by-step explanation:

Let the son’s present age is s years and father's be f.

We have age of a father is 2 less than 7 times the age of his son.

            f  = 7s -2

         7s - f = 2 eqn 1

In 3 years, the sum of their ages will be 52.

         s + 3 + f + 3 = 52

        s + f = 46 eqn 2

eqn 1 + eqn 2

          8s = 48

            s = 6

Son’s present age, s = 6 years.

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents