The sum of two numbers is 70.4. One of the numbers is 9 times the other. What are the 2 numbers?
To find the two numbers, let's assign variables to represent them. Let's say the first number is x and the second number is y.
According to the problem statement, the sum of the two numbers is 70.4, so we can write the equation as:
x + y = 70.4 (Equation 1)
The problem also states that one of the numbers (let's say x) is 9 times the other number (y), so we can write the equation as:
x = 9y (Equation 2)
Now we can solve this system of equations.
Substitute the value of x from Equation 2 into Equation 1:
9y + y = 70.4
Combining like terms:
10y = 70.4
Now, divide both sides of the equation by 10:
y = 70.4 / 10
Simplifying:
y = 7.04
Now, substitute the value of y back into Equation 2 to find x:
x = 9 * 7.04
x = 63.36
Therefore, the two numbers are x = 63.36 and y = 7.04.
The two numbers are 63.36 and 7.04
smaller -- x
larger --- 9x
x + 9x = 70.4
etc