The numbers on two consequtively numbered gym lockershave the sum of 127. What are the locker numbers?

Question

nikato · Answer

let one of the number be x.
the next consecutive number would be x+1

and since you know that the sum of these two consecutive numbers add up to 124, you can set up this equation

x+x+1=127
Does this make sense so far?

anonymous · Answer

yes it does

nikato · Answer

so can you solve fro x on your own now?

anonymous · Answer

well do i have to find out two numbers that add up to 127 right?

nikato · Answer

correct. and you will be able to find these two numbers after you solve for x from that equation

anonymous · Answer

how would i solve for x if their is two x's

nikato · Answer

combine like terms
remember x is the same as 1x
so what's 1x+1x?

anonymous · Answer

2x

nikato · Answer

yes.so
x+x+1=127
combining like terms give you
2x+1=127
what would be your next step to isolate x on the left side?

anonymous · Answer

i got 63

anonymous · Answer

it was 63,64 thanks for your help :)

nikato · Answer

Yes. That's correct. And you're welcome!