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In 2019 Meera's mother was four times as old as Meera. In 2027 her mother's age will be twice Meera's age. In which year was Meera born?

Competition practiceAverages & Ages
  • A2011
  • B2019
  • C2023
  • D2015

Step-by-Step Solution

Let Meera be m in 2019, so her mother is 4m. By 2027 both have gained 8 years: 4m + 8 = 2(m + 8), that is 4m + 8 = 2m + 16, so 2m = 8 and m = 4. Meera was 4 in 2019, so she was born in 2015. Check: in 2019 they are 4 and 16; in 2027 they are 12 and 24. 2011 treats the 8-year gap between the two snapshots as Meera's 2019 age. 2019 reads the first sentence as her birth year. 2023 subtracts her 2019 age of 4 from 2027 instead of from 2019.
Answer: D) 2015

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