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






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  • By: anil on 05 May 2019 01.34 am
    Let ages of P,Q and R be $$p,q,r$$ respectively According to ques, => $$(p+r)+2q=59$$ ------------(i) and $$(q+r)+3p=68$$ -------------(ii) and $$p+3q+3r=108$$ ------------(iii) Multiplying equation (ii) by 3, => $$3q+3r+9p = 204$$ ----------(iv) Subtracting equation (iii) from (iv), we get : => $$(9p-p)=(204-108)$$ => $$8p=96$$ => $$p=frac{96}{8}=12$$ years => Ans - (D)
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