Linked ages with time shifts: Solve present ages from future and past relations. A is three times as old as B. Four years ago, C was twice as old as A was then. In four years' time, A will be 31. Find the present ages of B and C. Choose the correct ordered pair.
Verbal Reasoning
Arithmetic Reasoning
Difficulty: Medium
Choose an option
-
A9, 46
-
B9, 50
-
C10, 46
-
D10, 50
Answer
Correct Answer: 9, 50
Explanation
Compute A first A in 4 years = 31 ⇒ A now = 31 − 4 = 27.
Find B A = 3B ⇒ 27 = 3B ⇒ B = 9.
Find C Four years ago: A was 23 ⇒ C was twice that: 2 × 23 = 46. So C now = 46 + 4 = 50.
Check Relations satisfied: A=27, B=9, C=50 ✔