Discussion
Five-eighths of a number exceeds one-third of the same number by 21. The number is:
Answer: A
Set up \(\dfrac{5}{8}x - \dfrac{1}{3}x = 21\). The common denominator is 24, giving \(\dfrac{15x - 8x}{24} = 21\), so \(\dfrac{7x}{24} = 21\) and \(x = 72\). Check: \(\dfrac{5}{8}\) of 72 is 45 and \(\dfrac{1}{3}\) of 72 is 24, differing by 21.
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