the sum of two numbers is 6 and their difference is 4 find the numbers

Answer 1

x = first number

y = second number

x + y = 6

x - y = 4

Isolate the variable x in the first equation and plug it into the second equation.

x = 6 - y

6 - y - y = 4

6 - 2y = 4

-2y = -2

y = 1

Plug y back into the first equation to find x.

x + 1 = 6

x = 5

Check!

If x = 5 and y = 1,

5 + 1 = 6

5 - 1 = 4

The first number is 5, and the second number is 1.