Question

The product of two numbers is 9375 and the quotient, when the larger one is divided by the smaller, is 15. The sum of the numbers is .

• A. 380
• B. 400
• C. 395
• D. 425

Hint:

Always verify your calculations by substituting the derived values back into the original conditions to ensure accuracy.

Answer 1

The Correct Option is C

Let the two numbers be \( x \) and \( y \) such that \( x > y \). Then, \( x \times y = 9375 \) and \( \frac{x}{y} = 15 \). Solving these equations, we find \( x = 375 \) and \( y = 25 \). Thus, the sum of the numbers is: \[ x + y = 375 + 25 = 400 \] (Note: There appears to be a typographical error in the options provided based on the calculation, the correct sum is 400 as derived from the problem setup.)