The Sum Of Two Numbers Is 82 And Their Difference Is 10

The problem given says that 2 unknown numbers are given, whose sum is equal to 82 and the difference is 10. Let's find the two numbers :

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

The difference of two numbers :
X - Y = 10

Solution :

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

X + Y = 82
X - Y = 10

2X = 92

Let's divide 92 to 2 for the first number "X" .

X/2 = 46

First number is 46

X + Y = 82
So ;
46 + Y = 82
Y = 82 - 46
Y = 36

Second number is 36

Question & Answer
The Sum Of Two Numbers Is 82 And Their Difference Is 10 : 46 And 36