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If AC = 10, BD = 15
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13 Dec 2023, 01:12
13 Dec 2023, 01:12
Expert Reply
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Question Stats:
50% (02:28) correct
50% (02:47) wrong based on 4 sessions
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If AC = 10, BD = 15 and AB/BC =BC/CD, what is the length of the line AD?
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19
Re: If AC = 10, BD = 15
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19 Dec 2023, 12:16
19 Dec 2023, 12:16
1
From statement 1:
AC = AB + BC = 10
BD = BC + CD = 15
AD = AB + BC + CD. Since BC is unknown. We cant determine the length of AD.
Insufficient.
From statement 2:
AB / BC = BC / CD
Cross multiplying gives BC² = AB * CD
Clearly Insufficient.
Combining both From 1:
AB = 10 - BC
CD = 15 - BC
From 2 BC² = AB * CD = (10 - BC)(15 - BC)
Solving gives BC as 6.
Hence AD becomes 19.
AC = AB + BC = 10
BD = BC + CD = 15
AD = AB + BC + CD. Since BC is unknown. We cant determine the length of AD.
Insufficient.
From statement 2:
AB / BC = BC / CD
Cross multiplying gives BC² = AB * CD
Clearly Insufficient.
Combining both From 1:
AB = 10 - BC
CD = 15 - BC
From 2 BC² = AB * CD = (10 - BC)(15 - BC)
Solving gives BC as 6.
Hence AD becomes 19.
gmatclubot
Re: If AC = 10, BD = 15 [#permalink]
19 Dec 2023, 12:16
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