The Sum Of Two Numbers Is 82 And Their Difference Is 34

The problem given says that 2 unknown numbers are given, whose sum is equal to 82 and the difference is 34. Let's find the two numbers :

When we add the two numbers :
X + Y = 82

The difference of two numbers :
X - Y = 34

Solution :

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

X + Y = 82
X - Y = 34

2X = 116

Let's divide 116 to 2 for the first number "X" .

X/2 = 58

First number is 58

X + Y = 82
So ;
58 + Y = 82
Y = 82 - 58
Y = 24

Second number is 24

Question & Answer
The Sum Of Two Numbers Is 82 And Their Difference Is 34 : 58 And 24