number of two digits exceeds the number formed by reversing the digits by 9 and 4 times the product of the digits exceeds 6 times their sum is 6 find the number
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10x + y =4(x + y) + 6
or 10x + y = 4x + 4y +6
or 6x - 3y = 6
or 2x - y = 2 ------eq(i)
&&
10y + x = 10x + y + 9
or 9x - 9y = -9
or x - y = -1 --------eq(ii)
Therefore
eqi - eqii
or 2x - x -y - y = 2 + 1
or x = 3
therefore y:
x - y = -1
or 3 - y = -1
y = 4
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