Category: Quantitative Reasoning
Difficulty: Hard
Result: Wrong
17. Leah is four times as old as her 2 year old brother Merlin. How old will Merlin be when he is half the age of his older sister Leah?
- 4
- 5
- 6◀ Correct Answer
- 7
- 8
Your Answer: No Answer Given
This question requires solving a word problem involving age and proportional relationships. The problem states that Leah is currently four times as old as her 2-year-old brother Merlin. You need to determine how old Merlin will be when he is half Leah's age.
Let's break it down:
- Right now, Leah is 4 * 2 = 8 years old.
- We need to find the age where Merlin is half Leah's age, so we set up the equation: when Merlin is x years old, Leah will be 2 * x years old.
- We also know that Leah is currently 6 years older than Merlin (since 8 - 2 = 6), and this difference will remain constant.
To solve, find when the difference between their ages is exactly half of Leah's age:
x + 6 = 2 * x
Simplifying this equation gives us the solution that Merlin will be 6 years old when he is half the age of his older sister Leah.