
Nathan B. answered 09/07/19
Elementary and Algebraic skilled
Here's what we know:
a + b = 18 (two numbers added together equal 18)
a - b = 4 (subtracting those same numbers gets us 4)
This is a classic addition method problem where we add the two formulas together in order to remove a variable:
a + b = 18
a - b = 4
------------------
2a + 0b = 22 → 2a = 22
Isolate a. divide both sides by 2:
2a / 2 = 22 / 2
a = 11
Now to find b:
11 + b = 18
Subtract 11 from both sides:
b = 7
check:
11 - 7 = 4
4 = 4