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In a two-digit, if it is known that its units digit exceeds its tens 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:

24
26
42
46
Explanation:

Let the tens digit be x,

Then, the unit digit is x+2

As per the condition,

=>(10x+x+2) $\times$ (2x+2) =144

=>(11x+2) $\times$ (2x+2) =144

Solving, x=2(the tens digit)

Unit digit is 4

Hence the required number is 24.

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