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# If Angela is twice as old as the combined ages of Bill and Charlie, th

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Senior RC Moderator
Joined: 02 Nov 2016
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If Angela is twice as old as the combined ages of Bill and Charlie, th  [#permalink]

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10 Feb 2019, 03:52
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Difficulty:

55% (hard)

Question Stats:

66% (02:26) correct 34% (01:47) wrong based on 32 sessions

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If Angela is twice as old as the combined ages of Bill and Charlie, then how old is Charlie?

(1) Four years from now, the sum of all three people’s ages will be 108.

(2) Five years ago, the average (arithmetic mean) of all three people’s ages was 27.

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If Angela is twice as old as the combined ages of Bill and Charlie, th  [#permalink]

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10 Feb 2019, 04:06
1
If Angela is twice as old as the combined ages of Bill and Charlie, then how old is Charlie?

(1) Four years from now, the sum of all three people’s ages will be 108.

(2) Five years ago, the average (arithmetic mean) of all three people’s ages was 27.

IMO E

A = 2 (B+C), what is C = ?

from 1) A+B+C +12 = 108
B+C = 96/3 = 32 (substitute for given A = 2(B+C)

Cannot say anything about B+C, if B is greater than C or is it vice versa

from 2) A+B+C -15 = 81
B+C = 96/3 = 32

Cannot say anything about B+C, if B is greater than C or is it vice versa

After combination, also we have 2 unknowns, cannot say anything.
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Re: If Angela is twice as old as the combined ages of Bill and Charlie, th  [#permalink]

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10 Feb 2019, 05:17
1
If Angela is twice as old as the combined ages of Bill and Charlie, then how old is Charlie?

(1) Four years from now, the sum of all three people’s ages will be 108.

(2) Five years ago, the average (arithmetic mean) of all three people’s ages was 27.

givebn
A=2(b+c)
#1
a+b+c+12=108
or say'
b+c=32
not sufficeint
#2
a+b+c-15=81
a+b+c=96
b+c=32
again not sufficient
from 1&2
we cannot conclude on value of C
IMOE
Re: If Angela is twice as old as the combined ages of Bill and Charlie, th   [#permalink] 10 Feb 2019, 05:17
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