Question

what is the number, when reversed and 45 is subtracted from it, we will get the same number.

Answer 1

10x + y = 10y + x -45
9y - 9x =45
y-x = 5
so numbers are 16,27,38,49

Answer 2

Number, when reversed and 45 is subtracted from it, we will get the same number is 16 , 27

Solution:

Let the number be 10x + y

From given,

Number, when reversed and 45 is subtracted from it, we will get the same number

Therefore,

$10x + y = 10y + x - 45 \\\\9y - 9x = 45$

$y - x = 5$

$y = x + 5$

Therefore,

10x + y

10x + x + 5

11x + 5

Thus the numbers can be,

when x = 1,

11(1) + 5 = 16

When x = 2,

11(2) + 5 = 27

And so on

Verify:

Reverse 16 = 61

61 - 45 = 16

Thus correct

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