Question

If a-b=5 and a^2 - b^2= 45 find the value of a+b

Answer 1

(a + b) = 9

Explanation:

The a² - b² formula is also known as "the difference of squares formula"

It can be decomposed as follows:
a² - b² = (a - b)(a + b)

Since we are given a + b = 5 and a² - b² = 45

we have

45 = 5 (a + b)

Dividing by 5 both sides
45/5 = (a + b)

9 = (a + b)

or,

(a + b) = 9