Difference between the present ages of A and B is 2 years. 5 years ago from present, the ratio of ages of A and B is 4 : 3. What is the present age of B?
Show answer & explanation
Correct answer: A
Explanation
Let 5 years ago the ages of A and B were 4x and 3x respectively.
current age
Present age of A = 4x + 5
Present age of B = 3x + 5
equations
According to the question, the difference of their present ages is 2 years:
(4x + 5) – (3x + 5) = 2
on solving equations
4x + 5 – 3x – 5 = 2
x = 2
To find the present age of B: B's present age = 3x + 5
B = 3(2) + 5
B = 6 + 5
B = 11 years
Answer: Present age of B is 11 years.