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Eleven years ago Tina was half as old as Ike will be in 4 years.

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by BTGModeratorVI » Mon Sep 07, 2020 6:53 am

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Eleven years ago Tina was half as old as Ike will be in 4 years. If Ike is m years old now, how old is Tina now, in terms of m?

A. 4m - 11
B. m/2 + 13
C. 1/(2m - 22)
D. (4m + 11)/2
E. 2m-7

Answer: B
Source: Economist GMAT
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Source: — Problem Solving |

BTGModeratorVI wrote:
Mon Sep 07, 2020 6:53 am
Eleven years ago Tina was half as old as Ike will be in 4 years. If Ike is m years old now, how old is Tina now, in terms of m?

A. 4m - 11
B. m/2 + 13
C. 1/(2m - 22)
D. (4m + 11)/2
E. 2m-7

Answer: B
Source: Economist GMAT
Given: m = Ike's PRESENT age
So, m + 4 = Ike's age IN 4 YEARS
So, (1/2)(m + 4) = Tina's age 11 YEARS AGO
So, (1/2)(m + 4) + 11 = Tina's PRESENT age

The answer does not appear among the answer choices. So, we'll need to SIMPLIFY the expression
Take: (1/2)(m + 4) + 11
Expand: m/2 + 2 + 11
Simplify: m/2 + 13

Answer: B

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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