if the ages of p and R are added to twice the age of Q the total become 68. if the ages of Q and R are added to thrice the age of P the total becomes 81. and if the age of Q and P added with thrice the age of R, the total becomes 89. what is the age of P ??
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According to question,
P+R+2Q=59 ....(i)
Q+R+3P=68 ....(ii)
From (i) and (ii)
Q - P + R - R + 3P - 2Q = 68-59
2P-Q = 9
2P= 9 + Q
P=9+Q2
and P + 3Q + 3R = 108 ...(iii)
=>P+3 (2P-9) +3R= 108
=>P + 6P - 27 + 3R= 108
=> 7P + 3R = 135
From equations (ii) and (iii)
3Q + 3R + 9P - P - 3Q - 3R = 204-106
8P = 96
∴P =968= 12 years.
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