If a, b, c are integers; a² + b² = 45 and b² + c² = 40, then the values of a, b and c respectively are :	Choices:  A) 2, 6, 3  B) 3, 2, 6  C) 5, 4, 3  D) 4,5,3  E) None of these
a² + b² = 45 ….(1) and b² + c² = 40   Subtracting, we get: a² - c² = 5 =&gt; (a + c) (a – c) = 5.   (a + c) = 5 and (a – c) = 1.   Solving we get: a = 3, c = 2. Putting c = 2 in (ii), we get b = 6.   ANSWER:3, 2, 6
<result>B</result>
If a, b, c are integers; a² + b² = 45 and b² + c² = 40, then the values of a, b and c respectively are :