The sum of the heights of two high-rises is x feet. If the first high

Question

The sum of the heights of two high-rises is x feet. If the first high rise is 37 feet taller than the second, how tall will the second high rise be after they add an antenna with a height of z feet to the top?

A. (x+z)/2 + 37
B. 2x−(37+z)
C. (x−37)/2 + z
D. x/2 - 37 + z
E. (2x−37)/z

Show Answer

Official Answer

C

A. (x+z)/2 + 37
B. 2x−(37+z)
C. (x−37)/2 + z
D. x/2 - 37 + z
E. (2x−37)/z

Bunuel · Accepted Answer

VERITAS PREP OFFICIAL SOLUTION:

If F is the height of the first building and S is the initial height of the second, we know from the problem that: F + S = x and F = S + 37 By substituting the second equation into the first we get: (S + 37) + S = x; solving for S gives, S = (x−37)/2.

Adding an antenna to the second building will give it a total (new) height of S + z = (x−37)/2 + z

The correct answer is C.

TudorM · Answer

Hello Bunuel, I gave it a try:

I will note h1 the height of high-rise 1 and h2 the height of high-rise 2. SO:

h1 + h2 = x 
and h1 = h2 + 37 =>

Q: h2 + z = ?

h2 + h2 + 37 = x => 2h2 = x-37 =? h2 = (x-37)/2

=> h2 + z = (x-37)/2 + z, CORRECT ANSWER C

chetan2u · Answer

ans C..
 let the smaller be y , higher will be y+37... so y+y+37=x or y=(x-37)/2..
 now z is added on y...therefore height will be y+z or (x-37)/2+z

mehrdadtaheri92 · Answer

Lets assume taller h1 and the shorter high is h2:

As problem says h1+h2=x & h1=h2+37,

We replace these two relations in the equation and we have h2+h2+37=x OR : 2h2+37=x and after adding z to the x , we have 2h2+37=x

Or : 2h2= x-37 and finally we get :h2= (x-37)/2+z

so the shorter h2 is (x-37)/2 +z answer c :lol:

gmat6nplus1 · Answer

call height_1 H, call height_2 K.

H+K=x ---> 2K+37=x ---> K=x-37/2 add the antenna and you get answer C

gracie · Answer

let b+z=height of second building with antenna
x=2b+37➡
2b=x-37➡
b=(x-37)/2
b+z=(x-37)/2+z
C

Paras96 · Answer

The sum of the heights of two high-rises is x feet. If the first high rise is 37 feet taller than the second, how tall will the second high rise be after they add an antenna with a height of z feet to the top?

A. (x+z)/2 + 37
B. 2x−(37+z)
C. (x−37)/2 + z
D. x/2 - 37 + z
E. (2x−37)/z

Show Answer

Official Answer

C

Let the height of 2nd high rise = h
Therefore, the height of 1st high rise = h + 37
=> h + h + 37 = x
=> 2h + 37 = x
=> h= (x-37)/2

The height of 2nd high rise after adding antenna = h + z = (x-37)/2 + z

Hence C

bumpbot · Answer

Automated notice from GMAT Club BumpBot: 

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

 This post was generated automatically.

The sum of the heights of two high-rises is x feet. If the first high

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Problem Solving (PS) Questions

The sum of the heights of two high-rises is x feet. If the first high

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards