SOLUTION: find two consecutive numbers such that the difference of their square is 65

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Question 897711: find two consecutive numbers such that the difference of their square is 65
Answer by dkppathak(439)   (Show Source): You can put this solution on YOUR website!

find two consecutive numbers such that the difference of their square is 65
Solution
Let number are X and X+1
as per given conditions
(X+1)^2-X^2=65
X^2+1+2X-X^2=65
2x+1=65
2x=65-1
2x=64
x=64/2
x=32
consecutive numbers are 32, 33

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