Question

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

Answer 1

To solve this problem we have to make system of equations.

`\left \{ {{a+b=52} \atop {a-b=20}} \right.`
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

`\left \{ {{a=36} \atop {b=16}} \right.`