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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 beco…

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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?
  • A15 years
  • B19 years
  • C17 years
  • D12 years
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Discussion 2

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CCommunity
Solution
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)
0
CCommunity
Solution
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)