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

Esmeralda = X yrs. old.

Gregory = x+2 yrs. old.

In 5 years:
Esmeralda = x+5 yrs. old.
Gregory = x+2 + 5 = x+7 yrs. old.

x+5 + x+7 = 42.
2x + 12 = 42.
X = 15 = Esmeraldas' current age.