the difference between the square of two consecutive numbers ii 49 .find the numbers.
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let the consecutive number's be X and X+1
then the difference between their square is
(X+1)^2-X^2 = 49
X^2+1+2X–X^2 = 49
2x=49-1 = 48
x=24
hence the numbers are 24 and 25
then the difference between their square is
(X+1)^2-X^2 = 49
X^2+1+2X–X^2 = 49
2x=49-1 = 48
x=24
hence the numbers are 24 and 25
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