A and B are friends, and B is 2 years younger than A. A’s father D is twice as old as A, and B is twice as old as his sister C. The ages of D and C differ by 40 years. The ages of A and B, respectively, are
A
26 years, 24 years
B
25 years, 23 years
C
30 years, 28 years
D
None of these
Correct Option:
A
Explanation
Let A's age be x. Then B is x − 2. A's father D is 2x, while B is twice C, so C = (x − 2)/2. Given D − C = 40, we get 2x − (x − 2)/2 = 40. This gives x = 26, so B is 24.
