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Seven years ago Bob was k times as old as Ann. If Ann is now 11

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Re: Seven years ago Bob was k times as old as Ann. If Ann is now 11

by Jay@ManhattanReview » Tue Jul 07, 2020 9:47 pm
BTGModeratorVI wrote: ↑
Tue Jul 07, 2020 6:22 am
 Seven years ago Bob was k times as old as Ann. If Ann is now 11 years old, what is Bob’s present age in terms of k?

A. 7 + 4k
B. 11/k + 7
C. 11 - 7/k
D. 11 - k/7
E. 4k - 7

Answer: A
Source: Magoosh
Say Bob's present age is B; we already know Ana's present age; it is 11.

So, we have (B – 7) = k(11 – 7) => B = 4k + 7

Correct answer: A

Hope this helps!

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Re: Seven years ago Bob was k times as old as Ann. If Ann is now 11

by Brent@GMATPrepNow » Wed Jul 08, 2020 5:36 am
BTGModeratorVI wrote: ↑
Tue Jul 07, 2020 6:22 am
 Seven years ago Bob was k times as old as Ann. If Ann is now 11 years old, what is Bob’s present age in terms of k?

A. 7 + 4k
B. 11/k + 7
C. 11 - 7/k
D. 11 - k/7
E. 4k - 7

Answer: A
Source: Magoosh
If Ann is NOW 11 years old, then 7 YEARS AGO, Ann was 4 years old.

Seven years ago Bob was k times as old as Ann.
So, 7 YEARS AGO, Bob's age was 4k

What is Bob’s present age in terms of k?
To find Bob's present age, we need to add 7 to his age 7 years ago.
So, Bob's PRESENT age = 4k + 7

Answer: A

Cheers,
Brent
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Re: Seven years ago Bob was k times as old as Ann. If Ann is now 11

by Scott@TargetTestPrep » Sat Jul 11, 2020 1:06 pm
BTGModeratorVI wrote: ↑
Tue Jul 07, 2020 6:22 am
 Seven years ago Bob was k times as old as Ann. If Ann is now 11 years old, what is Bob’s present age in terms of k?

A. 7 + 4k
B. 11/k + 7
C. 11 - 7/k
D. 11 - k/7
E. 4k - 7

Answer: A
Solution:

Letting B and A equal Bob’s and Ann’s current ages, respectively, we can create the equation:

B - 7 = k(A - 7)

Since A = 11, we have:

B - 7 = k(11 - 7)

B - 7 = 4k

B = 4k + 7

Answer: A

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