The ratio between the present ages of P and Q is 5 : 7 respectively. I...
Given Information:
The ratio between the present ages of P and Q is 5:7.
The difference between Q's present age and P's age after 6 years is 2.
Let's solve the problem step-by-step:
Step 1: Set up the equation:
Let P's present age be 5x.
Let Q's present age be 7x.
Step 2: Calculate their ages after 6 years:
After 6 years, P's age will be 5x + 6.
After 6 years, Q's age will be 7x + 6.
Step 3: Write the given equation:
According to the given information, the difference between Q's age and P's age after 6 years is 2:
(7x + 6) - (5x + 6) = 2
Step 4: Simplify and solve the equation:
2x = 2
x = 1
Step 5: Calculate the present ages of P and Q:
P's present age = 5x = 5(1) = 5
Q's present age = 7x = 7(1) = 7
Step 6: Calculate the total of P's and Q's present ages:
Total = P's age + Q's age = 5 + 7 = 12
Answer:
The total of P's and Q's present ages is 12 years, which corresponds to option B.