Jane started baby-sitting when she was 18 years old. Whenever she baby-sat for a child, that child was no more than half

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BTGmoderatorDC: Moderator; Posts: 7187; Joined: Thu Sep 07, 2017 4:43 pmFollowed by: 23 members

by BTGmoderatorDC » Wed Jul 29, 2020 6:03 pm

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Jane started baby-sitting when she was 18 years old. Whenever she baby-sat for a child, that child was no more than half her age at the time. Jane is currently 32 years old, and she stopped baby-sitting 10 years ago. What is the current age of the oldest person for whom Jane could have baby-sat?

A. 21
B. 22
C. 23
D. 24
E. 25

OA C

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Source: Beat The GMAT — Problem Solving | Wed Jul 29, 2020 6:03 pm

deloitte247: Legendary Member; Posts: 2214; Joined: Fri Mar 02, 2018 2:22 pmFollowed by: 5 members

Re: Jane started baby-sitting when she was 18 years old. Whenever she baby-sat for a child, that child was no more than

by deloitte247 » Thu Jul 30, 2020 10:41 pm

Jane started babysitting when she was 18 years old.
$$The\ child\ at\ that\ time\ was\ 18\cdot\frac{1}{2}=9\ years\ old$$
The difference in years between when James started and now = 32 - 18 = 14 years.
The child's current age = 9 + 14 = 23 years old
Answer = option C

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8246; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

Re: Jane started baby-sitting when she was 18 years old. Whenever she baby-sat for a child, that child was no more than

by Scott@TargetTestPrep » Sat Aug 01, 2020 6:31 am

BTGmoderatorDC wrote: ↑
Wed Jul 29, 2020 6:03 pm
Jane started baby-sitting when she was 18 years old. Whenever she baby-sat for a child, that child was no more than half her age at the time. Jane is currently 32 years old, and she stopped baby-sitting 10 years ago. What is the current age of the oldest person for whom Jane could have baby-sat?

A. 21
B. 22
C. 23
D. 24
E. 25

OA C

Solution:

Since Jane stopped babysitting at age 22, the oldest child she babysat at the time could be 11 years old. Therefore, that child’s age would be 21 now.

Answer: A

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