Question 161181
Let x = larger number
Let y = smaller number

2x = 3 + 5y (first sentence transformed into an equation)
x + y = 4x (second sentence transformed into an equation)

Let's solve for y first by rearranging the 2nd equation into:

x + y - x = 4x - x
y = 3x

Substitute that value of y into the first equation:

2x = 3 + 5(3x)
2x = 3 + 15x
2x - 15x = 3 + 15x - 15x
-13x = 3
x = -3/13

Plug that back into the 2nd equation we got earlier...

y = 3x
y = 3(-3/13)
y = -9/13

So the larger number = -3/13 and the smaller number = -9/13