Answer:
The two numbers are approximately 4.73 and 89.87.
Let's use algebraic equations to solve this problem.
Let's call the two numbers "x" and "y", where:
x is one of the numbers
y is the other number
We are given two pieces of information:
The sum of the two numbers is 94.6: x + y = 94.6
One number is 19 times the other: x = 19y
Now we can substitute the value of x from the second equation into the first equation:
19y + y = 94.6
Combine the y terms:
20y = 94.6
Now, solve for y by dividing both sides by 20:
y = 94.6 / 20
y = 4.73
Now that we know the value of y, we can find the value of x using the second equation:
x = 19y
x = 19 * 4.73
x = 89.87
So, the two numbers are approximately 4.73 and 89.87.