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# Two people measure each other's height, the height of the taller perso

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Math Expert
Joined: 02 Sep 2009
Posts: 55609
Two people measure each other's height, the height of the taller perso  [#permalink]

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22 Jun 2016, 02:57
00:00

Difficulty:

15% (low)

Question Stats:

82% (00:58) correct 18% (01:28) wrong based on 49 sessions

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Two people measure each other's height, the height of the taller person is H and the height of the other person is L. If the difference in their heights is equal to the average height, what is the Value of H/L?

A. 1/3.
B. 1/2.
C. 2.
D. 3.
E. 6.

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Re: Two people measure each other's height, the height of the taller perso  [#permalink]

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22 Jun 2016, 04:34

Difference = Average
H - L = (H + L)/2,
Solving for H/L gives 3. A quick check, H be 15 and L be 5, 15 - 5 = (15 + 5 )/2

(Share a kudo's, if you like the explanation)
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Re: Two people measure each other's height, the height of the taller perso  [#permalink]

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22 Jun 2016, 04:43
Bunuel wrote:
Two people measure each other's height, the height of the taller person is H and the height of the other person is L. If the difference in their heights is equal to the average height, what is the Value of H/L?

A. 1/3.
B. 1/2.
C. 2.
D. 3.
E. 6.

H-L= H+L/2

2H-2L=H+L
H= 3L
H/L= 3

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Re: Two people measure each other's height, the height of the taller perso  [#permalink]

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22 Jun 2016, 05:12
Bunuel wrote:
Two people measure each other's height, the height of the taller person is H and the height of the other person is L. If the difference in their heights is equal to the average height, what is the Value of H/L?

A. 1/3.
B. 1/2.
C. 2.
D. 3.
E. 6.

H-L = (H+L)/2

2H- 2L = H+L

H = 3L

H/L = 3

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Re: Two people measure each other's height, the height of the taller perso  [#permalink]

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22 Jun 2016, 07:38
D

2h-2l=h+l

solve and u will get the answer
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Re: Two people measure each other's height, the height of the taller perso  [#permalink]

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24 May 2019, 16:17
Bunuel wrote:
Two people measure each other's height, the height of the taller person is H and the height of the other person is L. If the difference in their heights is equal to the average height, what is the Value of H/L?

A. 1/3.
B. 1/2.
C. 2.
D. 3.
E. 6.

We can create the equation:

H - L = (H + L)/2

2H - 2L = H + L

H = 3L

H/L = 3

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Re: Two people measure each other's height, the height of the taller perso  [#permalink]

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26 May 2019, 12:09
Given

Height of the taller person = H

Height of the smaller person = L

The difference in the height = Average of the height

$$H - L$$= $$\frac{(H + L)}{2}$$

$$2H - 2L$$= $$H + L$$

$$H = 3L$$

$$\frac{H}{L}$$= 3

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Re: Two people measure each other's height, the height of the taller perso   [#permalink] 26 May 2019, 12:09
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