The product of two numbers is 10 more than 5 times their sum. If the numbers are in a ratio of 5 : 6, find the two numbers.

Question

The product of two numbers is 10 more than 5 times their sum. If the numbers are in a ratio of 5 : 6, find the two numbers.

1. A. 10 & 12 (Correct answer)
2. B. 12 & 18
3. C. 22 & 09
4. D. 25 & 29

Correct Answer

Option A — 10 & 12

Detailed Solution & Explanation

The correct answer is 10 & 12.

Key Points

• Let numbers = 5x and 6x.
• Product = 30x², sum = 11x.
• 30x² = 5(11x)+10 → 6x²−11x−2=0 → x=2. Numbers: 10 and 12.