Question

6. The difference between a two-digit number and the number obtained by
reversing the digits is 18. What is the difference between the digits of the
number?

Answer 1

Answer:

Let us consider the unit digit be ‘x’

and tens digit be ‘y’

So, the number is =x+10y

By reversing the digits

Unit digit be ‘y’

and tens digit be ‘x’

The number is y+10x=36

Now by equating both numbers,

x+10y–y–10x=36

−9x+9y=36

(y–x)=36/9

y–x=4

∴ The difference between digits of the 2−digit number is y–x=4.

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Step-by-step explanation:

Let us consider the unit digit be ‘x’

and tens digit be ‘y’

So, the number is =x+10y

By reversing the digits

Unit digit be ‘y’

and tens digit be ‘x’

The number is y+10x=36

Now by equating both numbers,

x+10y–y–10x=36

−9x+9y=36

(y–x)=36/9

y–x=4

∴ The difference between digits of the 2−digit number is y–x=4.

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