Question

Let a, b be positive integers such that 3a - 3b=240 What is the value of a + b?​

Answer 1

$\large\color{Yellow}{\colorbox{green}{\colorbox{crimson}{ANSWER}}}$

$\underline{Given:}$

3a - 3b=240

$\underline{To \: \: find:}$

a + b

$\underline{Solution:}$

3a - 3b=240

3(a-b) = 240

a-b = 80

By using identity,

(a-b)² = (a+b)² -4ab

80² = (a+b)² -4ab

(a+b)² = 6400 +4ab

a+b = $\sqrt{6400 +4ab}$

$\boxed{ANSWER: √(6400 +4ab)}$