The present ages of P and Q are 40 and 33 years respectively. After X years, the ratio of the ages of Q and P will be 5:6. What is the value of X?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 2 years
After \(X\) years each person is \(X\) years older, so Q will be \(33+X\) and P will be \(40+X\). Their ratio, Q to P, is to be 5 : 6.
\(\displaystyle \frac{33+X}{40+X}=\frac{5}{6}\)
\(6(33+X)=5(40+X)\)
\(198+6X=200+5X\)
\(X=\) 2 years