Five years ago, the average age of P and Q was 25. The average age of P, Q and R today is 25. Age of R after 5 years will be :
A. 15 years
B. 20 years
C. 40 years
D. 35 years
Show Answer
Answer-B
Solution-
Solution(By Apex Team)
$\begin{array}{l}\text{According to the question,}\\
\frac{P+Q}{2}=25\\
P+Q=50\ldots..(\text{ i) }(5\text{ years ago })\\
\frac{P+Q+R}{3}=25\\
P+Q+R=75\ldots..\text{ (ii) (present age) }\end{array}$
∴ Present age of P + Q = 50 + 10 = 60 years
Present age of R = 75 – 60 = 15 years
$\begin{array}{l}\text{∴ Age of R after 5 years}\\
\text{= 15 + 5 = 20 years}\end{array}$
