Out of the three numbers A, B and C, A exceeds B by 20 and C exceeds A by 55. If the sum of all the numbers is 230, What is the difference between the largest and the smallest number?  Choose the correct option:
A) 87  B) 65  C) 75  D) 19  E) 11
Explanation:   We have , A = B + 20 &amp; C = A + 55 = B + 75   Thus, (B + 20) + (B) + (B + 75) = 230   B = 45   Thus, A = 65 &amp; C = 120. Hence, (C) – (B) = 120 – 45 = 75   Short-Cut Method : Since C is larger than A by 55 and A is larger than B by 20, we get, the Required difference = 55 + 20= 
<gadget id="calculator">55 + 20</gadget>
<output>75</output>
75 (without calculating the actual values of A, B and C).   ANSWER:75
<result>C</result>
Out of the three numbers A, B and C, A exceeds B by 20 and C exceeds A by 55. If the sum of all the numbers is 230, What is the difference between the largest and the smallest number?