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The sum of two numbers is seventy-two. two times the first number ten times the second number. what are the numbers?

User Martinwguy
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4 votes

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.

User Cbjeukendrup
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