The sum of two numbers is 45. 4 times the first number is 9 less than 5 times the second, what are the two numbers:

The sum of two numbers is 45. 4 times the first number is 9 less than 5 times the second, what are the two numbers:
Answer: 24 and 21

Let the numbers be x and y, with x + y = 45 and 4x = 5y - 9. From the first, y = 45 - x. Substitute: 4x = 5(45 - x) - 9 → 4x = 225 - 5x - 9 → 9x = 216 → x = 24. Then, y = 45 - 24 = 21. Studying this highlights linear equations, providing lessons on solving systems for practical scenarios.