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The sum of two numbers is 52. The difference of the same two numbers is 20. Find the two numbers

Sagot :

To solve this problem we have to make system of equations.
[tex] \left \{ {{a+b=52} \atop {a-b=20}} \right. [/tex]
From the first equation lets find value of a in times of b
a=52-b
Now we can substitute it into second equation
52-b-b=20  
52-2b=20      /-52 both sides
-2b=20-52
-2b=-32    :(-2) divide both sides by -2
b=16
Now we can back substitute to the first equation
a=52-b
a=52-16
a=36

So the result is
[tex] \left \{ {{a=36} \atop {b=16}} \right. [/tex]

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