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# The average age of three friends A, B and C is 7 years. Five years lat

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VP
Joined: 19 Oct 2018
Posts: 1295
Location: India
The average age of three friends A, B and C is 7 years. Five years lat  [#permalink]

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02 Jun 2019, 22:08
00:00

Difficulty:

65% (hard)

Question Stats:

59% (02:26) correct 41% (02:39) wrong based on 51 sessions

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The average age of three friends A, B and C is 7 years. Five years later, the average age of A and C will be 1½ years more than B’s age then. How old will B be 10 years hence (in years)

A. 10
B. 12
C. 14
D. 16
E. 18
Director
Joined: 22 Nov 2018
Posts: 565
Location: India
GMAT 1: 640 Q45 V35
GMAT 2: 740 Q49 V41
Re: The average age of three friends A, B and C is 7 years. Five years lat  [#permalink]

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03 Jun 2019, 04:20
1
A+B+C = 21 years.

5 years later ((A+5)+(b+5))/2 = 1.5+B+5 ; simplifying A+C+10=13+2B ; Adding B on both sides A+B+C = 3+3B; 21 = 3+3B; B= 6. Ten years later b=16
Manager
Joined: 20 Mar 2019
Posts: 50
Location: India
Re: The average age of three friends A, B and C is 7 years. Five years lat  [#permalink]

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03 Jun 2019, 18:24
(A+B+C)/3 = 7

A+B+C = 21

5 Years Later,
(A+C)/2 +5 = 3/2 + B + 5

Since A + B + C = 21 , we know that A+C = 21-B

Replace in above equation,

(21-B)/2 = 3/2 + B
B = 6

10 Years Later,

B =16
Re: The average age of three friends A, B and C is 7 years. Five years lat   [#permalink] 03 Jun 2019, 18:24
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# The average age of three friends A, B and C is 7 years. Five years lat

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