Answer:
Jaime = 11
Sammy = 44
Explanation:
It is given that Sammy is eleven less than five times Jaime's age. Use parameter (S) to represent Sammy's age, and parameter (J) to represent Jaime's age. Form an equation based on this given information:
S = 5J - 11
It is given that the sum of the two girl's ages is (55), use an equation to represent this.
S + J = 55
Substitute in the expression for the value of (S) in terms of (J),
(5J - 11) + J = 55
Simplify,
6J - 11 = 55
Inverse operations,
6J - 11 = 55
6J = 66
J = 11
Backsolve for the value of (S), substitute in the value of (J) into the equation for (S) and solve,
S = 5(J) - 11
S = 5(11) -11
S = 55 - 11
S = 44