the population of the town A is 46874 , the population to town B is 10 to the Power 2 more than the population of town A. what is the population of town B
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Let population of Town A be x and of Town B be y
Given, x=y+96000=>x−y=96000 -- (1)
As per the statement, "If 62,000 people move from town B to town A, the ratio between the population of town A and that of town B will be 11:1 =>x+62000:y−62000=11:1
=>
y−62000
x+62000
=
1
11
=>x+62000=11y−682000
=>x−11y=−7,44,000 --- (2)
Subtracting equation (2) from (1), we get 10y=8,40,000=>y=84,000
Substituting y=84,000 in the equation (1), we get x−84000=96000=>x=1,80,000
Hence, population of Town A =1,80,000 and population of Town B =84000
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