SOLUTION: Cant figure this out. Help Please! :) The apartments in Kellys apartment house are numbered consecutively on each floor. The sum of his number and his next door neighbors num

Question 185533: Cant figure this out. Help Please! :)
The apartments in Kellys apartment house are numbered consecutively on each floor. The sum of his number and his next door neighbors number is 1419. What are the two numbers>?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Remember, consecutive numbers follow the form: x, x+1, x+2, etc...

So for example, the numbers 1, 2, 3, 4, and 5 are consecutive numbers

So because "The apartments in Kellys apartment house are numbered consecutively on each floor", this means that Kelly's apartment number is either one more or one less than her neighbors.

Let's make x = Kelly's number

and let's make her neighbor be one more, which means that x+1=neighbor's number

Now since "The sum of his number and his next door neighbors number is 1419", this tells us that

Kelly's Number + Neighbor's Number = 1419

which also looks like

-------------------------------------------

Now let's solve for "x":

Start with the given equation.

Combine like terms.

Subtract from both sides.

Combine like terms on the right side.

Divide both sides by to isolate .

Reduce.

----------------------------------------------------------------------

Answer:

So the answer is

This means that Kelly's house number is 709 and her neighbor's is 710

Check:

709+710=1419
1419=1419 ... works
RELATED QUESTIONS
The apartments in Vincent's apartment house are numbered consecutively on each floor. The (answered by MathLover1)

The apartments in Brian's apartment house are numbered consecutively on each floor The... (answered by Alan3354)

an apartment building has 7 stories. The top floor is one large apartment. Each floor... (answered by rfer)

Could you please help me find the correct set up for this word problem involving systems... (answered by stanbon)

Please help me to solve the following maths problem. 1. Four apartments in a small block (answered by Theo)

Please help me with the homework. Four apartments belong to three owners. Each... (answered by ElectricPavlov)

In the Stoneridge apartment complex, 35% of the apartments have one bedroom. If there... (answered by TakeishaM)

Please help me solve the following problem. Four apartments in a small block of flats,... (answered by parmen)

A wealthy businessman owns a complex which contains 30 apartment. He gets paid R3 000 per (answered by stanbon)