The Sum Of Two Numbers Is 64 And Their Difference Is 18

The problem given says that 2 unknown numbers are given, whose sum is equal to 64 and the difference is 18. Let's find the two numbers :

When we add the two numbers :
X + Y = 64

The difference of two numbers :
X - Y = 18

Solution :

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

X + Y = 64
X - Y = 18

2X = 82

Let's divide 82 to 2 for the first number "X" .

X/2 = 41

First number is 41

X + Y = 64
So ;
41 + Y = 64
Y = 64 - 41
Y = 23

Second number is 23

Question & Answer
The Sum Of Two Numbers Is 64 And Their Difference Is 18 : 41 And 23