The Sum Of Two Numbers Is 71 And Their Difference Is 13

The problem given says that 2 unknown numbers are given, whose sum is equal to 71 and the difference is 13. Let's find the two numbers :

When we add the two numbers :
X + Y = 71

The difference of two numbers :
X - Y = 13

Solution :

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

X + Y = 71
X - Y = 13

2X = 84

Let's divide 84 to 2 for the first number "X" .

X/2 = 42

First number is 42

X + Y = 71
So ;
42 + Y = 71
Y = 71 - 42
Y = 29

Second number is 29

Question & Answer
The Sum Of Two Numbers Is 71 And Their Difference Is 13 : 42 And 29