The sum of two numbers is 51 and the difference is 9. what are the numbers?

The numbers are 30 and 21.

I find it by dividing 51 by 2, and then adding half of 9 to it.

So

51/2 = 25.5

25.5 + (9/2) = 30

51 - 30 = 21

30 - 21 = 9

So with this you'll be doing a system of equations. The first equation is to represent the sum of the numbers and the second is to represent the difference of numbers.

Let x = larger number and y = smaller number.

x + y = 51

x - y = 9

For this, I'll be using the elimination method. And to do that, all you need to do is add (x+y=51) and (x-y=9) together, and your result will be 2x = 60. From here we can solve for x.

For that equation, all you need to do is divide 2 on both sides, and your answer will be x = 30.

Now that we have x, we can substitute x for 30 in either equation to solve for y. I'll use the 1st equation.

30 + y = 51

y = 21

In short, the two numbers are 21 and 30.

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

what is the question? i am guessing you are looking for the area.

to find an area, you have to do length x width.

in this case, it would be 12 ft x 4 ft = 48 sq. ft