Final answer:
The two numbers are 7.04 and 63.36.
Step-by-step explanation:
Let's represent the two numbers as x and y. We know that the sum of the two numbers is 70.4, so we can write an equation: x + y = 70.4. We are also given that one number (let's say x) is 9 times the other (y), so we can write another equation: x = 9y.
We can substitute the value of x from the second equation into the first equation: 9y + y = 70.4. Combining like terms, we get 10y = 70.4. Dividing both sides by 10, we find that y = 7.04.
Now, we can substitute the value of y into the second equation to find x: x = 9 * 7.04 = 63.36.
So, the two numbers are 7.04 and 63.36.
Learn more about finding two numbers when their sum and ratio is given