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4))Let the number be x and y. Then according to the given statement,
x−y=5—(i)
And xy=84—(ii)
From equation (i), we have
x=5+y—(iii)
Putting value from equation (iii) into equation (ii), we have
(5+y)y=84
5y+y2=84
y2+5y−84=0
y(y−8)+4(y−8)=0
(y−8)(y+4)=0
y−8=0 and y+4=0
y=8 and y=−4 as we are talking about positive number therefore
y=8—(iv)
Putting this value from equation (iv) in equation (i), we have
x−8=4
x=4+8
x=12
Hence, from equation (iv) and (v), the two positive numbers
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