The present-age ratio of Indira to Lizzy is 3 : 8. After 8 years, Indira will be 20 years old. What was Lizzy’s age 5 years ago?

Introduction / Context:
Use the future absolute age to back out Indira's present age and the ratio multiplier, then compute Lizzy’s present and past ages.

Given Data / Assumptions:

• Indira : Lizzy = 3 : 8 ⇒ Indira = 3k, Lizzy = 8k
• Indira after 8 years = 20 ⇒ 3k + 8 = 20

Concept / Approach:
Solve for k, derive Lizzy now, then subtract 5 years.

Step-by-Step Solution:

Verification / Alternative check:
Indira now = 12, in 8 years = 20, consistent with the prompt.

Why Other Options Are Wrong:
28, 37, 38 do not match the computed past age of Lizzy from the ratio and given future age.

Common Pitfalls:
Using 20 as Indira’s present age or applying the 5-year subtraction to the wrong person.

Final Answer:
27 yr.