Question

Two common names for streets are FirstFirst Street and MainMain ​Street, with 14 comma 86614,866 streets bearing one of these names. There are 488488 more streets named FirstFirst Street than MainMain Street. How many streets bear each​ name?

Answer 1

Answer:  There are 7,677 streets named as " First Street" and 7, 189 streets named as  "Main Street" .

Step-by-step explanation:

Let x be the number of streets named as First Street .

y be the number of streets named as Main Street.

AS per the given information, we have the following system of equations :

$x+y=14866-------------(1)\\\\x=488+y-------------(2)$

Substitute the value of x from (2) in (1) , we get

$488+y+y=14866\\\\ 2y =14866- 488\\\\ 2y=14378\\\\ y=7189$

Put value of y in (2), we get

$x=488+7189=7677$

Hence , there are 7,677 streets named as " First Street" and 7, 189 streets named as  "Main Street" .