Question 54

If the ages of P and R are added to twice the age of Q, the total becomes 59. If the ages of Q and R are added to thrice the age of P, the total becomes 68 and if the age of P is added to thrice the age of Q and thrice the age of R, the total becomes 108. What is the age of P?

Solution

According to question

P+R+2Q=59...........1

Q+R+3P=68 .........2

P+3Q+3R=108 .................3

Multiply equation (2) by 3

And subtract equation (iii) from it,

Then P=12 years

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