Question

The sum of two numbers, one of which is one-third of the other, is 36. The smaller number is:

• A. 6
• B. 7
• C. 8
• D. 9

Hint:

For ratio-based problems, express one variable in terms of the other to simplify equations.

Answer 1

The Correct Option is D

Let the larger number be \( x \). Then, the smaller number is: \[ \frac{x}{3} \] From the given equation: \[ x + \frac{x}{3} = 36 \] Multiplying through by 3 to eliminate the fraction: \[ 3x + x = 108 \] \[ 4x = 108 \] \[ x = 27 \] Thus, the smaller number is: \[ \frac{27}{3} = 9 \]