## anonymous 4 years ago The Product of two Consecutive room numbers is 182. Find the room numbers. List number of first room and second.

1. anonymous

a * b = 182 b - a = 1 13, 14

2. anonymous

thank you, can you help me with 3 more? :D That would be really awesome. But you dont have to if you dont want to :)

3. anonymous

ill write it out as new question

4. myininaya

n and n+1 are consecutive numbers their product is 182 so that means we have n(n+1)=182 => $n^2+n=182= > n^2+n-182=0$ $(n+14)(n-13)=0$ $=> n=-14 \text{ or } n=13$ But n=13 since 13 is the only positive number here and n+1=13+1=14 the page numbers are 13,14