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11 Apr 2022, 02:45
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67% (02:09) correct
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In ten years, David will be four times as old as Aaron. Twenty years ago, David was twice as old as Ellen. If David is seven years older than Ellen, how old is Aaron?
A. 1–5
B. 6–10
C. 11–15
D. 16–20
E. 21–25
Are You Up For the Challenge: 700 Level Questions
A. 1–5
B. 6–10
C. 11–15
D. 16–20
E. 21–25
Are You Up For the Challenge: 700 Level Questions
11 Apr 2022, 07:07
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Bunuel
In ten years, David will be four times as old as Aaron. Twenty years ago, David was twice as old as Ellen. If David is seven years older than Ellen, how old is Aaron?
A. 1–5
B. 6–10
C. 11–15
D. 16–20
E. 21–25
Are You Up For the Challenge: 700 Level Questions
A. 1–5
B. 6–10
C. 11–15
D. 16–20
E. 21–25
Are You Up For the Challenge: 700 Level Questions
David is seven years older than Ellen
So, if we let E = Ellen's PRESENT age...
Then E + 7 = David's PRESENT age
Twenty years ago, David was twice as old as Ellen
20 YEARS AGO, Ellen's age = E - 20
20 YEARS AGO, David's age = (E + 7) - 20 = E - 13
So, we can write: E - 13 = 2(E - 20)
Solve to get: E = 27, which means Ellen's PRESENT age is 27, which means David's PRESENT age is 34 (7 years older than Ellen)
In ten years, David will be four times as old as Aaron
Since David's PRESENT age is 34, we know that, IN 10 YEARS, David's age will be 44, which means Aaron will be 11 years old IN 10 YEARS.
How old is Aaron?
If Aaron will be 11 years old IN 10 YEARS, we know that Aaron's PRESENT age is 1.
Answer: A
11 Apr 2022, 07:27
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If David is seven years older than Ellen, then when David was twice as old as Ellen, Ellen must have been 7 and David 14. That was 20 years ago, so Ellen is 27 and David is 34. In ten years David will be 44, and since that's 4 times Aaron's age in 10 years, Aaron will be 11 in ten years, and is 1 right now.
