The ratio of present ages of P and Q is 3:8 and after 6 years their ages ratio is 4:9 then the age of P at present is …………….. years.
A) 16
B) 19
C) 18
D) 20
Correct option is (C) 18
Let present ages of P and Q are respectively 3x and 8x.
After 6 years, age of P = 3x+6,
age of Q = 8x+6.
According to given condition,
\(\frac{3x+6}{8x+6}=\frac49\)
\(\Rightarrow\) 9 (3x+6) = 4 (8x+6)
\(\Rightarrow\) 27x + 54 = 32x + 24
\(\Rightarrow\) 32x - 27x = 54 - 24
\(\Rightarrow\) 5x = 30
\(\Rightarrow\) \(x=\frac{30}5=6\)
\(\therefore\) Present age of P = 3x = 18 years.