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.
- A.
222
- B.
235
- C.
215
- D.
523
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Correct answer: A
Solution:
Let the two numbers be 5x and x.
Their product is 5x · x = 5x² = 6845, so x² = 6845/5 = 1369.
Take the square root: x = 37 (positive value).
Sum = 5x + x = 6x = 6 × 37 = 222.
Therefore, the sum of the numbers is 222.
Shortcut: x = sqrt(Product/5), then sum = 6x.