Gregory is 2 years older than Esmeralda. In 5 years the sum of their ages will be 42. How old is Esmeralda now?

(A) Translate the given information into an equation using the variable x = current age of Esmeralda. Simplify the left side of your equation.
__________________= 42

(B) How old is Esmeralda currently?
Esmeralda is_____ years old

G = E + 2

(G+5) + (E+5) = 42

Substitute E+2 for G in the second equation and solve for E. Insert that value into the first equation to solve for G. Check by putting both values into the second equation.