Answer:
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
