Set 6: Systems of Equations (Advanced)

Choice C is correct. Choice C is the correct answer. Let $A$ = Anna's age and $D$ = daughter's age. System: $\begin{cases} A = 3 D \\ A + D = 48 \end{cases}$ Step 1: Substitute: $$$3D + D = 484D = 48$D = 12 Step 2: Find A: $A = 3(12) = 36$ Solution: Anna is 36 years old Verification: $36+ 12 = 48$ ✓ and $36= 3(12)$ ✓ Strategic Tip: "Times as old" translates to multiplication.