One number is 70% more than another number. the sum of the numbers is 405. what are the two numbers?

x = 255, y = 150

Step-by-step explanation:

Lets make a system of equations

Set x as one number and y as the other

The first equation would be x = 1.7y assuming that x is the number that is 70% larger than y

Multiplying y by 1.7 ensures that x is 170% of y. If y is 100%, then 170% is 70% more than 100%.

The second equation would be x + y=405

Your two equations are now:

x = 1.7y

x + y = 405

To solve for each variable, use the equation x = 1.7y and plug it into the x in the second equation to make the equation 1.7y + y = 405

Because there is a y in both parts of the left side of the equation, you can pull them out to make y(1.7 + 1) = 405

     y(1.7 + 1) = 1.7y + y because if you distribute the y to the numbers in the    parenthesis, you would get 1.7y + 1y and 1y = y, making it 1.7y + y

Now you can add the numbers inside the parenthesis to get y(2.7) = 405

Divide both sides by 2.7 to get y = 150

Now that you have y, you can plug it into one of the equations to solve for x

In this case, we'll plug it into x + y = 405 to make x + 150 = 405

Subtract 150 from both sides to get x = 255

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