Translate this sentence into an equation. The sum of and Carlos's age is . Use the variable to represent Carlos's age.

Question

Translate this sentence into an equation. The sum of and Carlos's age is . Use the variable to represent Carlos's age.

Answer 1

their ages sum to z

x+y = z

one is a years older than the other

x= a+y

a+y+y =z

2y = z -a

y = (z-a)/2

x = a+y = a +z/2 -a/2 = a/2 +z/2 = (a+z)/2