WAEC Mathematics 2023 Question 12

Question 12

Linear and Simultaneous Equations

One-third the sum of two numbers is 12. Twice their difference is 12. Find the numbers

  1. A.21 and 15
  2. B.20 and 16
  3. C.22 and 14
  4. D.23 and 13
Show the answer and explanation

Answer: A (21 and 15)

Explanation

x + y = 36 and x − y = 6. Adding gives 2x = 42, so x = 21 and y = 15.