Two numbers are in ratio P:Q. when 1 is added to both the numerator and the denominator, the ratio gets changed to R/S. again, when 1 is added to both the numerator and denominator, it becomes 1/2. Find the sum of P and Q. Choose the correct choice from the following answers:	A) 3	B) 4	C) 5	D) 6	E) 7
Solution: If we go through normal method, It will be quite cumbersome,so,   We will solve this question through options.   Taking option a: It has P+Q = 3. The possible value of P/Q is 1/2 or 2/1.   Using 1/2, we see that on adding 2 in both the numerator and denominator we get 3/4 (not required value.   Similarly we check for 2/1, this will also not give the required value.   OPTION b:   We have 1/3 possible ratio.   Then, we get the final value as 3/5 (not = to 1/2)   Hence, rejected.   Here we have 1/4 or 2/3.   Checking for 1/4 we get 3/6 = 1/2. Hence, the option is correct.   Option c:
<result>C</result>
Two numbers are in ratio P:Q. when 1 is added to both the numerator and the denominator, the ratio gets changed to R/S. again, when 1 is added to both the numerator and denominator, it becomes 1/2. Find the sum of P and Q.