Difference between the present ages of A and B is 10 years. 3 years ago from present, the ratio of ages of A and B is 22 : 17. What is the present age of B?
Show answer & explanation
Correct answer: C
Explanation
Let:
A's current age = A
B's current age = B
Difference = 10 years
A − B = 10 ... (1)
Ratio 3 years ago = 22 : 17
17(A − 3) = 22(B − 3)
17A − 51 = 22B − 66
17A = 22B − 15 ... (2)
Now, from (1):
A = B + 10
Substituting this into (2):
17(B + 10) = 22B − 15
17B + 170 = 22B − 15
185 = 5B
B = 37
Correct Answer: (C) 37 years