
Since they form corresponding Angle pair ~
Answer: 
Step-by-step explanation:
You know that the ratio of the television's screen is
. This ratio can be also written as the following fraction:

The television shows an image with a ratio of
which can be also written as a fraction:

Set up the following proportion and solve for "x":

Now, in order to find the percent of the screen area occupied make the following division:
23 and 9 are the two numbers
Explanation:
x = one number
y = other number
x + y = 32 {sum of two numbers is 32
x - y = 14 {difference is 14}
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2x = 46 {added the two equations together}
x = 23 {divided both sides by 2}
x + y = 32 {top equation}
23 + y = 32 {substituted 23, in for x, into top equation}
y = 9 {subtracted 23 from both sides}
23 and 9 are the two numbers