The Sum Of Two Numbers Is 82 And Their Difference Is 16

The problem given says that 2 unknown numbers are given, whose sum is equal to 82 and the difference is 16. Let's find the two numbers :

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

The difference of two numbers :
X - Y = 16

Solution :

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

X + Y = 82
X - Y = 16

2X = 98

Let's divide 98 to 2 for the first number "X" .

X/2 = 49

First number is 49

X + Y = 82
So ;
49 + Y = 82
Y = 82 - 49
Y = 33

Second number is 33

Question & Answer
The Sum Of Two Numbers Is 82 And Their Difference Is 16 : 49 And 33