The product of two successive positive integer is 6162 what is the smallest integer
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Let one digit be 'x' and the other be x+1
x × x + 1
x × x + 1 = 6162
x² + x - 6162 = 0
x² + 79x-78x -6162 = 0
x( x+ 79 ) - 78 ( x +79)
(x-78) (x+79)
x has to be equal to -79 or 78
but it cannot be equal to - 79 because the question says positive integers
x = 78 and x + 1 = 79
ANS: the digits are 78 ad 79
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