Question

If a2 - b2 = 13 where a and b are natural numbers,
then value of a is
(a) 6
(b) 7
(C) 8
(d) 9​

Answer 1

Given,

a² - b² = 13

→ (a+b)(a-b) = 13

→ a + b = 13 ---------(1)

Or

a - b = 13 --------------(2)

Now,

(1) + (2),

→ 2a = 26

→ a = 13