I be leave it is the 3rd one.
9% decrease because 145-132=13
13=9% of 145
They are already rounded but 20% and 30% should be correct.
Whenever a problem says "one number" and "another number" we can substitute x and y. for this we have x=2y+1 and xy=1. since we know the value of x (2y+1) we can substitute it for the other equation to get (2y+1)y=10. simplify to get 2y^2+y=10. from here you can do a few methods to solve this, but the simplest in my opinion is by factoring.
In order to factor it must be equal to 0, so we have 2y^2+y-10=0. We factor this and get y=5 (we also get y=-4 but it is an extraneous root). now we can plug that into either equation and find that x=2.
this means our two numbers are 5 and 2
Answer:
x = 18 (Smaller number)
y = 35 (Larger number)
Step-by-step explanation:
To solve, begin by setting up a system of equations.
'x' being the smaller number, while
'y' is the larger number.
We can construct the equations:
x + y = 53
3x = y + 19
Rearrange the second equation to equal 'y':
3x - 19 = y
Plug this value of 'y' into the first equation:
x + 3x - 19 = 53
Combine like terms and simplify:
4x - 19 = 53
4x = 72
x = 18
Plug in this value for 'x' into an equation to solve for 'y':
18 + y = 53
y = 35.