When a number is
multiplied by 3, its
unit digit comes out
to be 2. Which of
these could be
a
possib

1 thought on “When a number is<br />multiplied by 3, its<br />unit digit comes out<br />to be 2. Which of<br />these could be<br />a<br />possib”

1. Step-by-step explanation:

   let the number be 10x+y, where 0<x,y<10.

   The condition says, [3*(10x+y)] -2 = 10y+x

   simplifying will give us the equation as 29x=7y+2

   now max possible number for y is 9 and max possible value for R.H.S is 65.

   therefore to be in range with the R.H.S, the max possible value for x is 2.

   Thus, x can be either 1 or 2. If x=1, LHS=29 and no suitable value can be found for y.

   If x=2, LHS=58 and y can be 8 to satisfy the equation.

   Thus x=2 and y=8.

   So the number is 28.

   Verification:

   (28*3)-2=82

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