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In a two-digit, if it is known that its unit's digit exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is

equal to 144, then the number is:


Let the tens digit be x then unit digit = x+2
 now a.t.q

11x² 35x-22x -70=
x(11x+35) -2(11x+35)=0
therefor x=2or x=-35/11
since digit can't be negative
then number is  24

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