Answer:
First number is 60 and second is 12
Explanation:
Let's call the first number "x" and the second number "y." According to the information given:
1. The sum of two numbers is seventy-two:
x + y = 72
2. Two times the first number is ten times the second number:
2x = 10y
Now, we can solve this system of equations. First, let's solve equation 2 for x:
2x = 10y
x = 10y/2
x = 5y
Now, we can substitute this expression for x into equation 1:
5y + y = 72
Combining like terms:
6y = 72
Now, divide both sides by 6 to find the value of y:
y = 72/6
y = 12
Now that we have the value of y, we can find x using the expression we found earlier:
x = 5y
x = 5 * 12
x = 60
So, the two numbers are x = 60 and y = 12.