Alisha's father was 7 times older to her 18 years ago. He would be 2 times of…
2024
Alisha's father was 7 times older to her 18 years ago. He would be 2 times of her age 2 years from now. Six years ago, what was ratio of Alisha's age to her father ?
- A.
2:5
- B.
1:3
- C.
3:5
- D.
2:3
Attempted by 7 students.
Show answer & explanation
Correct answer: A
Let present ages of Alisha and her father be A and F respectively.
From 18 years ago: F - 18 = 7(A - 18). Simplify to get F = 7A - 108.
From 2 years from now: F + 2 = 2(A + 2). Simplify to get F = 2A + 2.
Equate the two expressions for F: 7A - 108 = 2A + 2. So 5A = 110 and A = 22. Then F = 2A + 2 = 46.
Six years ago: Alisha = A - 6 = 16, father = F - 6 = 40. Ratio = 16:40 = 2:5.
Answer: 2:5