Smaller = (Sum − Difference) ÷ 2
Larger = (Sum + Difference) ÷ 2 AGS Formula Box
bar model: Larger number vs Smaller number (total: Sum = 2,307, Diff = 509)
Draw a bar model: the larger number = smaller number + 509.
Sum + Difference = 2 × Larger. Sum - Difference = 2 × Smaller.
Sum + Difference=2,307 + 509 = 2,816
Larger number=2,816 ÷ 2 = 1,408
Smaller number=2,307 - 1,408 = 899
Final Answer: Smaller = 899; Larger = 1,408