The Sum Of Two Numbers Is 83 And Their Difference Is 25

The problem given says that 2 unknown numbers are given, whose sum is equal to 83 and the difference is 25. Let's find the two numbers :

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

The difference of two numbers :
X - Y = 25

Solution :

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

X + Y = 83
X - Y = 25

2X = 108

Let's divide 108 to 2 for the first number "X" .

X/2 = 54

First number is 54

X + Y = 83
So ;
54 + Y = 83
Y = 83 - 54
Y = 29

Second number is 29

Question & Answer
The Sum Of Two Numbers Is 83 And Their Difference Is 25 : 54 And 29