Final answer:
To find the two numbers, we set up an equation where x + (2/3)x = 15. Solving this, we find that x equals 9, and the second number, being 2/3 of x, equals 6.
Step-by-step explanation:
The question asks us to find two numbers where one number is 2/3 of another, and their sum is 15. To solve this, let's call the first number x. Consequently, the other number will be 2/3 of x, which we can denote as (2/3)x. The sum of the two numbers is given as x + (2/3)x = 15. By combining like terms, we have (1 + 2/3)x = 15, which simplifies to (5/3)x = 15. Dividing both sides by (5/3), we find that x = 15 × (3/5), which gives us x = 9. So the first number is 9 and the second number, being 2/3 of 9, is 6.