Question
If R’s age is twice the average age of P, Q and R.
P’s age is one third the average age of P, Q and R. If Q is 10 years old, the average age of P, Q and R is?Solution
R = 2/3 (P + Q + R) -------(i) P = 1/9 (P + Q + R) -------(ii) Q = 10 years ------(iii) By adding eq. (i) , (ii) and (iii), we get P + Q + R = 2/3 (P + Q + R) + 1/9 (P + Q + R) + 10 Let P + Q + R = x x = 2/3 x + 1/9 x + 10 x - 2/3 x - 1/9 x = 10 x = 45 years Average age of P, Q and R = 45/3 = 15 years.
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