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STatiana [176]
3 years ago
9

On one street in Samtredia, where the houses are numbered one after the other, live Yuza, Glonti and Ramin. There are three time

s as many houses between Yuza and Glonti as there are between Glonti and Ramin. Ramin's house number is three times Yuza's house number. What a house the Glonts live in
If there are exactly 13 houses between Yuza and Ramin's houses. A) 12; 8) 13; a) 14; D) 15; a) 16; 3) 17.​
Mathematics
1 answer:
MrMuchimi3 years ago
6 0

<u>Answer:</u>

<h2>17</h2>

<u>Explanation:</u>

if ramin's house number = 3 yuza's

then choices are: n×3

1 , 3 | 2 , 6 | 3 , 9 | 4 , 12 | 5 , 13 | 6 , 18 | 7 , 21

since there are 13 house between yuza and ramin

thus it's 7 , 21 (because there's 13 numbers between 7 and 21)

yuza lives in house 7

ramin live in house 21

and since houses between yuza and glonti = 3 times houses between glonti and ramin, with a ratio of 3:1

13 - 1 = 12 (we subtracted 1 for glonti's house)

3:1 , 3+1=4

12/4=3

3×3=9

hence

9 and 3 are the numbers of houses in each side with glonti in the middle

9 houses - glonti's house - 3 houses

7 + 9 = 16 (yuza's house number 7 plus 9 houses ahead)

glonti lives in the house: 16 + 1 = 17

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