The sum of two numbers is 95. If the larger number is increased by twice the smaller number the result is 120 what is the largest number
![The sum of two numbers is 95 If the larger number is increased by twice the smaller number the result is 120 what is the largest number class=](https://us-static.z-dn.net/files/de8/b36e588bb7ae98792328dbcb28a26663.png)
Let x represent the smaller number
Let y represent the larger number
The sum of the two numbers is 95. This means that
x + y = 95
If the larger number is increased by twice the smaller number, the result is 120. This means that
2x + y = 120
The system of equations representing the word problem is
x + y = 95, 2x + y = 120