Answer:
10 = Smaller number, 30 = bigger number
Explanation: Hello!
-Difference between two numbers is 20
-2 times the smaller number is 10 less than 30
What are the numbers?
The first thing you can find is that 10 less than 30 is 30-10, or 20.
Now you know that 2 times the smaller number is 20. You can also find that since 2 times the smaller number is 20, you can divide 20 by 2 to find what the smaller number is. You can also represent this as an equation.
x = smaller number
2x = 20
__ = __
2 2
x = 10
The smaller number is 10.
You also know that the difference between the two numbers is 20. You know one of the numbers is 10, and that is the smaller one. Add 20 to the smaller number to find the quantity of the larger number.
10 + 20 = 30.
The larger number equals 30 and the smaller number equals 10.
You can check your work by going back to the information given. 2 times the smaller number (10) is 10 less than 30. Remember x = smaller number.
2x = 30 - 10
2x = 20
x = 10
Let's say y is the larger number
x + 20 = y
10 + 20 = y
30 = y
Your answer is correct that the smaller number equals 10 and the larger number equals 30.
I hope this helps you!