Final answer:
The first number is found to be 10, and the second number, being 4 times the first, is 40. Combined they add up to the given sum of 50.
Step-by-step explanation:
We are given that the second of two numbers is 4 times the first and their sum is 50. Let's denote the first number as x and therefore, the second will be 4x. We can set up the equation to find these numbers:
x + 4x = 50
Combining like terms, we get:
5x = 50
To find the value of x, we divide both sides by 5:
x = 50 / 5
x = 10
Now that we have the first number, the second number is 4 times the first, so:
4x = 4 * 10
4x = 40
Therefore, the two numbers are 10 and 40.