Question

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 larger number? If x = the smaller number and y = the larger number, then which of the following systems of equations represents the word problem?

Answer 1

x+y=95
2x+y=120

filling the first in into the second, gives:

y = 95-x
2x+95-x=120 => x+95=120 => x=25, y=70