Multiple choice

Find the correct relationship between the given quantities: Respective ratio of Meera and her mother is 3:8. 10 years hence, the age of Meera’s brother will be half of her mother. Meera is 5 years younger than her brother. Quantity I= Sum of ages of Meera and her brother. Quantity II= Age of mother.

  1. Quantity II > Quantity I

  2. Quantity I ≥ Quantity II

  3. Quantity I > Quantity II

  4. Quantity I ≤ Quantity II

  5. Quantity I = Quantity II or relationship cannot be established
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A Correct answer
Explanation

Let Meera's age = 3x, mother = 8x. After 10 years: mother = 8x+10, brother = (8x+10)/2 = 4x+5. Meera is 5 years younger than brother, so 3x = (4x+5) - 5, giving x=5. Meera = 15, mother = 40, brother = 20. Quantity I = 15+20 = 35, Quantity II = 40. 40 > 35.

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