three consecutive integers such that the middle number exceeds the difference of the squares of the other twoby 60
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Step-by-step explanation:
let the integers be x, x+1,x+2
by data x+1+60=(x+2)(x+2)-x2
x+61=x2+2x+4-x2
x+61=2x+4
57=2x-x
x=57
therefore the consecutive numbers are 57,58,59
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