A) 19
B) 21
C) 16
D) 24
E) 18
Correct Answer: A
Solution :
Let the present age of P, Q and R be x, y and z years respectively. Then P : Q : R Percentage P : Q : R Now, P = Q - 3 or, Q = P + 3 ? ... (i) Again, according to the question, \[\frac{\text{P}}{\text{R}}\text{=}\frac{\text{4}}{\text{3}}\] Or, \[\text{R=}\frac{\text{3P}}{\text{4}}\] ? (ii) And \[\text{Q=R+7}\] ? (iii) Using (i) and (ii), in equation (iii), we get \[\frac{\text{3P}}{\text{4}}\text{+7=P+3}\] or, 3P + 28 = 4P + 12 or, 4P - 3P = 28 - 12 \[\therefore \text{P=16}\] \[\therefore \text{Q }\!\!'\!\!\text{ s present age =16+3=19 years}\]You need to login to perform this action.
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