Question

Sara is 33 years younger than Rolando. The Sum of their ages is 105. Select the system of equations if Sara's age is represented by S and Rolando's age is represented by R.

A. s+r=33
s=r-105

B. s+r=105
r=s-33

C. s+r=105
s=r-105

D. s+r=105
s=r-33

E. None of these

Answer 1

We know:
Sara is 33 years yonder than Rolando: i.e. S<R specifically S=R-33.
They are 105 years old together: i.e. S+R=105

The only answer that has both is D.

(Be careful here, B is almost right but says that Sara is OLDER by 33 years.)

Answer 2

s=r-33 and s+r=105

So that is answer D.