Two common names for streets are Fourth Street and Main Street, with 15 comma 384 streets bearing one of these names. There are 312 more streets named Fourth Street than Main Street. How many streets bear each name?

Question

contestada

Respuesta :

JeanaShupp JeanaShupp · Answer 1 · 2019-11-22T05:05:34+01:00

Answer: No. of street bear "Fourth Street " as name= 7848

No. of street bear "Main Street" as name =7536

Step-by-step explanation:

Given : Two common names for streets are Fourth Street and Main Street, with 15, 384 streets bearing one of these names.

Let x= No. of street bear name Fourth Street & y= No. of street bear name Main Street .

Then , [tex]x+y=15384------------(1)[/tex]

There are 312 more streets named Fourth Street than Main Street.

i.e.[tex]x-y=312-------------------(2)[/tex]

Adding (1) and (2), we get

[tex]2x=15696[/tex]

Divide both sides by 2 , we get

[tex]x=7848[/tex]

Put value of x=7848 in (1), we get

[tex]7848+y=15384\\\\\Rightarrow\ y=15384-7848=7536[/tex]

Hence, No. of street bear name Fourth Street = 7848

No. of street bear name Main Street =7536