The correct answer is :
( 7s - 2 ) +3+ ( s + 3 ) = 52 , or 8s + 4 = 52 .
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 .