Question : Directions: After 6 years, the sum of the years of service of P, Q, and R will be 56 years. Before 3 years, the sum of years of service of Q and R was 17 years. What is the current length of service of P?
Option 1: 17 years
Option 2: 15 years
Option 3: 11 years
Option 4: 12 years
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Correct Answer: 15 years
Solution :
Let, the length of years of service of P = P years
The length of years of service of Q = Q years
The length of years of service of R = R years
⇒After 6 years, the sum of the years of service of P, Q, and R = (P + 6) + (Q + 6) + (R + 6) = 56
P + Q + R + 18 = 56
P + Q + R = 38 ----- (I)
⇒Before 3 years, the sum of years of service of Q and R = (Q – 3) + (R – 3) = 17
R + Q – 6 = 17
R + Q = 23 ----- (II)
From the equation (I) and (II) above,
P + 23 = 38
P = 15 years
Therefore, the current length of service of P is 15 years. Hence, the second option is correct.
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