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UI Post-UTME Mathematics 2014 Question 11

Question 11

Linear and Simultaneous Equations

The sum of the digits of a 2-digt number is 11. With the digits interchanged, the new number exceeds the original by 45. Find the original number

  1. A.47
  2. B.29
  3. C.38
  4. D.56
Show the answer and explanation

Answer: C (38)

Explanation

A + B = 11 and 9(B − A) = 45, so B − A = 5: A = 3, B = 8, giving 38 (83 − 38 = 45).