The ratio of two numbers is 7:3. If the sum of the two numbers is 50, what are the numbers?

Step 1: Understand the problem The problem gives us a ratio of two numbers (7:3) and their sum (50). We are asked to find the actual numbers.

Step 2: Set up the equations Let's denote the two numbers as A and B. According to the problem, we have two equations:

A/B = 7/3 (from the ratio) A + B = 50 (from the sum)

Step 3: Solve the equations We can express A in terms of B from the first equation: A = 7/3 * B Then we substitute A in the second equation: 7/3 * B + B = 50 This simplifies to: 7B + 3B = 150 And further simplifies to: 10B = 150

Step 4: Find the value of B By dividing both sides of the equation by 10, we find that B = 15

Step 5: Find the value of A Substitute B = 15 into the equation A + B = 50, we get A = 50 - 15 = 35

So, the two numbers are 35 and 15.