The units digit of a two-digit number is four more than the tens digit. If the number is doubled, it will be 1 more than the reversed number. Find the number.

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.