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algol [13]
3 years ago
14

The sum of two numbers is 15. one number is 7 less then the other. what are the two numbers

Mathematics
2 answers:
Serjik [45]3 years ago
7 0

Answer:

One number is 4, the other is 11

Step-by-step explanation:

"The sum of two numbers is 15" can be written as

 x + y = 15       where x is one number, and y is the other.  Their sum is 15

"one number is 7 less then the other' can be written as

x = y - 7            x is one number that is 7 less than the other

Now we know x = y - 7.  We can plug that into the first equation x + y = 15 and solve...

The first equation is now...

y - 7 + y = 15                      ('x' is substituted for y - 7)

Now solve...

 2y - 7 = 15                    (combine like terms)

       2y = 22            (add 7 to both sides to isolate the term with the variable)

          y = 11                  (divide both sides by 2 to isolate the variable)

If y = 11, then

x + 11 = 15                      (the 'y' in the first equation becomes 11)

Then x = 4                (subtract 11 from both sides to isolate x)

pav-90 [236]3 years ago
3 0
One is 11 and the other is 4
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Answer:

E) 1/2

Step-by-step explanation:

This is no ordinary problem. It actually requires you to solve two different problems in order to figure out the correct answer.

First, we must figure out what the hypotenuse of the triangle is. We have the two small sides (5 and 12), but don't have the larger side. To find this, we must use the Pythagorean theorem: a^{2} + b^2 =c^2

Let's plug in our a and b values

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Square both sides

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we know that

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