In a two-digit number, if unit digit exceeds its ten's digit by 2 and the product of the given number and the sum of its digits is equal to 144, then what is the number?

• 24
  24*(2+4)=24*6=144
• 12 years agoHelpfull: Yes(6) No(0)
• 24.
  Let the 10's digit be x.Then the units digit will be x+2.
  the number is 11x+2.
  The sum of the digits will be 2x+2
  (11x+2)(2x+2)=144
  Solving the quadratic eqn we get x=2;so the number is 24.
• 12 years agoHelpfull: Yes(3) No(1)
• Let consider the number is xy.
  1---> y=x+2
  so the combination of this condition is, 13, 24, 35,46, 57, 68, 79 .
  
  2---> xy* (x+y) = 144.
  24*(2+4) = 144 .
• 10 years agoHelpfull: Yes(2) No(0)