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.