linear algebra interview questions quant - Wikitechy https://www.wikitechy.com/interview-questions/tag/linear-algebra-interview-questions-quant/ Interview Questions Tue, 07 Sep 2021 11:05:55 +0000 en-US hourly 1 https://wordpress.org/?v=6.9 https://www.wikitechy.com/interview-questions/wp-content/uploads/2025/10/cropped-wikitechy-icon-32x32.png linear algebra interview questions quant - Wikitechy https://www.wikitechy.com/interview-questions/tag/linear-algebra-interview-questions-quant/ 32 32 In City A population is 68000, decreasing at a rate of 80 per year City B having population 42000 increasing at a rate of 120 per Year. In how many years both the cities will have same population ? https://www.wikitechy.com/interview-questions/algebra/in-city-a-population-is-68000-decreasing-at-a-rate-of-80-per-year-city-b-having-population-42000-increasing-at-a-rate-of-120-per-year-in-how-many-years-both-the-cities-will-have-same-population/ https://www.wikitechy.com/interview-questions/algebra/in-city-a-population-is-68000-decreasing-at-a-rate-of-80-per-year-city-b-having-population-42000-increasing-at-a-rate-of-120-per-year-in-how-many-years-both-the-cities-will-have-same-population/#respond Thu, 05 Aug 2021 10:55:54 +0000 https://www.wikitechy.com/interview-questions/?p=1587

City A population is 68000, decreasing at a rate of 80 per year City B having population 42000 increasing at a rate of 120 per Year. In how many years both the cities will have same population ?

City A population = 68000
Amount of decrease = 68000-80X
City B population = 42000
Amount of increase = 42000+120x

If both cities will have same population then

68000-80x = 42000+120x
68000-42000 = 120x+80x
26000 = 200x
x = 26000/200
Ans = 130
In 130 years both cities will have same population

Check:

City A population = 68000-80* 130
= 68000-10400
= 57600
City B population = 42000+ 120*130
= 42000+15600
= 57600

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