Answer:
The number is 37
Step-by-step explanation:
The given parameters are;
The unit digit of a two-digit number = 4 + The tens digit
2 × The two-digit number = 1 + The reversed number
Let x represent the unit digit and y represent the tens digit, we have;
x = 4 + y
2 × yx = xy + 1
Which gives;
2 × yy+4 = 2y2y+8
xy + 1 = 4 + yy + 1
y + 1 = 2y + 8 - 10 (we assume that the product of 2 and the unit digit is more than 10 so we subtract 10 from the product to equate the unit digits of the two numbers
10 + 1 - 8 = 2y - y
10 - 7 = y
y = 3
x = y + 4 = 3 + 4 = 7
x = 7
Therefore, the number = 37.
