The Sum Of Two Numbers Is 83 And Their Difference Is 23

The problem given says that 2 unknown numbers are given, whose sum is equal to 83 and the difference is 23. Let's find the two numbers :

When we add the two numbers :
X + Y = 83

The difference of two numbers :
X - Y = 23

Solution :

If we add the two equations eachother , then we can find the first number.

X + Y = 83
X - Y = 23

2X = 106

Let's divide 106 to 2 for the first number "X" .

X/2 = 53

First number is 53

X + Y = 83
So ;
53 + Y = 83
Y = 83 - 53
Y = 30

Second number is 30

Question & Answer
The Sum Of Two Numbers Is 83 And Their Difference Is 23 : 53 And 30