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?

Difficulty: Easy

Correct Answer: 27 yr

Explanation:

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:

3k = 12 ⇒ k = 4Lizzy now = 8k = 32Lizzy 5 years ago = 32 − 5 = 27

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.

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