SOLUTION: The difference of squares of two consecutive numbers is 19.find the two numbers?

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Question 1085763: The difference of squares of two consecutive numbers is 19.find the two numbers?
Found 2 solutions by josgarithmetic, Alan3354:
Answer by josgarithmetic(39615) About Me  (Show Source):
You can put this solution on YOUR website!
Two numbers, n and n+1.
%28n%2B1%29%5E2-n%5E2=19


n%5E2%2B2n%2B1-n%5E2=19
2n%2B1=19
2n=18
highlight%28n=9%29
-
highlight%28n%2B1=10%29

The two numbers are 9 and 10.


10%5E2-9%5E2
100-81
19

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The difference of squares of two consecutive numbers is 19.find the two numbers?
-----------
19/2 = 9.5
--> 9 & 10