The sum of present ages of S and T is 50 years. The difference of the present ages of S and T is 8 years. 6 years ago from present, what was the ratio of age of S to age of T? (S is elder to T)
Show answer & explanation
Correct answer: B
Explanation
Current Ages
Let:
S = x, T = y
x + y = 50
x − y = 8
Adding both equations:
2x = 58 ⇒ x = 29
y = 50 − 29 = 21
Current Ages:
S = 29, T = 21
6 years ago:
S = 29 − 6 = 23
T = 21 − 6 = 15
Ratio:
23 : 15