Post-UTME Mathematics 2013 Objective — Question 100

Question 100 of 100 from the Post-UTME Screening (Post-UTME) Mathematics 2013 Objective paper, with the correct answer and a full explanation.

Three times the tens digit of a two-digit number is 2 greater than the unit digit. When the digits are interchanged, the new number is 36 more than the original number. What is the original number?

A. 35
B. 37Correct
C. 15
D. 28

Explanation

Let tens=t, unit=u: 3t=u+2, and 10u+t=(10t+u)+36 gives u-t=4. Solving: t=3, u=7, original number=37.

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