Anonymous

# College Algebra Question?

I need help with this algebra problem solving question and I need for someone to explain how to do the problem instead of just telling me the answer. Thank you I really appreciate it.

PROBLEM: The apartments in joan's apartment house are consecutively numbered on each floor. the sum of his number and his next door neighbors number is 1419. What are the two numbers?

Relevance

consecutive numbers go in order 1, 2, 3, 4 so on

so if Joan's apartment is x

the apartment next door is x + 1

so

x + x + 1 = 1419; combine like terms

2x + 1 = 1419

2x = 1418; divide by 2

x = 709

so one apartment is 709 and the next one is 710

Source(s): I teach my 7th graders to answer these type of questions
• you would divide by 2 because the numbers are consecutive

1419/2 = 709.5

since the houses are consecutive numbers, round up and down for both numbers.

709 and 710.

709 + 710 = 719

• Well, you know that the two rooms are next to eachother, numbered consecutively, therfore telling us that they are one off.

Divide 1419 by 2 = 709.5. - Round up and down to the nearest integers. Then, you know that the two numbers are 709 and 710.

Source(s): AP Stats, years of Math
• Which side is his next do neighbour? If we take his number to be n, it could be n+(n+1), or n+(n-1)= 1419.

• Your placement attempt would not qualify you to get into an more suitable lever of Math so which you will could take the pre-algebra in the past you could verify in for a Math that's tranferable to a school. See a councelor.

• try using this approach:

x+y=1419

x+1=y

then do....

x+1=y = x-y=-1

try solving it from there by taking the two equalities, now

x+y=1419

x-y=-1

...using substitution.

• trick question