Ok, so you automatically know that you are subtracting 6 from 10 to get 4. So, in order to figure out how it is 1/3 of that number, it is going to be multiplied by 3, getting 18. So, the number would be 18.
7/100
3/10
21/125
3/ 2500
7/50
I simplified them for you
So a decrease of 16% followed by an increase of 14% is the same as multiplying by 0.9576 (which is a decrease of 4.24%)
Step-by-step explanation:
Let's represent the two integers with the variables
and
.
From the problem statement, we can create the following two equations:


With the first equation, we can subtract
from both sides to isolate the
variable to the left-hand side:

Now that we have a value for
, we can plug it into the second equation and solve for
:


Now, let's move everything to one side of the equation:

Factoring this quadratic will give us two values for
:


Since we now know
, we can plug this back into either of the original equations to get a value for
, which will be
.
So the two numbers that sum to
and have a product of
are
.