Product of two numbers is 6845. If the first number is 5 times the second…

2024

Product of two numbers is 6845. If the first number is 5 times the second number, find the sum of the numbers.

  1. A.

    222

  2. B.

    235

  3. C.

    215

  4. D.

    523

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Show answer & explanation

Correct answer: A

Solution:

  1. Let the two numbers be 5x and x.

  2. Their product is 5x · x = 5x² = 6845, so x² = 6845/5 = 1369.

  3. Take the square root: x = 37 (positive value).

  4. Sum = 5x + x = 6x = 6 × 37 = 222.

Therefore, the sum of the numbers is 222.

Shortcut: x = sqrt(Product/5), then sum = 6x.

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