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marissa [1.9K]
3 years ago
11

The sum of two numbers is 12. If one number is subtracted from the other, their difference is -2. Find the numbers

Mathematics
2 answers:
adoni [48]3 years ago
8 0
The first number is 5
the 2nd number is 7
sertanlavr [38]3 years ago
3 0
We can solve this by setting up a system of equations. x and y will represent the two numbers.
x+y = 12
x-y = -2
Personally, I'm going to solve the system by solving one of the equations for x and substituting it into the other one.
x = 12-y
12-y-y = -2
12-2y = -2
-2y = -14
y = 7

Now find the other number by plugging 7 in for y in one of the equations.
x+7 = 12
x = 5
OR
x-7 = -2
x = 5

So, the two numbers are 5 and 7.
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\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 213.90&115\\ x&100 \end{array}\implies \cfrac{213.9}{x}=\cfrac{115}{100}\implies 21390=115x \\\\\\ \cfrac{21390}{115}=x\implies 186=x


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