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:

Use the given conditions to form equations and solve for the numbers.

Answer 1

The Correct Option is B

To find the sum of the two numbers: 1. Let the two numbers be $x$ and $y$ where $x > y$. 2. Given: $x _times y = 9375$ and $_frac{x}{y} = 15$. 3. From $_frac{x}{y} = 15$, we get $x = 15y$. 4. Substitute $x = 15y$ into $x _times y = 9375$: _[ 15y _times y = 9375 _implies 15y^2 = 9375 _implies y^2 = 625 _implies y = 25 _] 5. Substitute $y = 25$ back into $x = 15y$: _[ x = 15 _times 25 = 375 _] 6. The sum of the numbers is: _[ x + y = 375 + 25 = 400 _] Therefore, the correct answer is (2) 400.