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How many years old will Fred be y years from now? (1) Doris

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by alanforde800Maximus » Sat Oct 22, 2016 11:43 pm
How many years old will Fred be y years from now?
(1) Doris is 12 years older than Fred.
(2) The sum of the ages of Doris and Fred is y years.

Please assist with above problem.
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by GMATGuruNY » Sun Oct 23, 2016 3:00 am
alanforde800Maximus wrote:How many years old will Fred be y years from now?
(1) Doris is 12 years older than Fred.
(2) The sum of the ages of Doris and Fred is y years.
Statements combined:
(1) Doris is 12 years older than Fred.
(2) The sum of the ages of Doris and Fred is y years.

Case 1: F=1
Since D is 12 years older, D = 1+12 = 13.
Since D+F = y, y = 13+1 = 14.
How many years old will Fred be y years from now?
14 years from now Fred will be 15.

Case 2: F=2
Since D is 12 years older, D = 2+12 = 14.
Since D+F = y, y = 14+2 = 16.
How many years old will Fred be y years from now?
16 years from now Fred will be 18.

Since the answer to the question stem can be different values, the two statements combined are INSUFFICIENT.

The correct answer is E.
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by Brent@GMATPrepNow » Mon Oct 24, 2016 6:41 am
This DS question appears to be a derivation of this PS question: https://www.beatthegmat.com/stuck-t286350.html

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Brent
Brent Hanneson - Creator of GMATPrepNow.com
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