The difference between a 2-digit number and the number obtained by interchanging the 2 digits of the number is 9. What is the difference between the 2 digits of the number?

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Solution

The correct option is C 1
Let the number be 10x + y
$(10 x + y) - (10 y + x) = 9$
$\Rightarrow 9 x - 9 y = 9$
$∴$ Required difference $x - y = 1$

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The difference between a 2-digit number and the number obtained by interchanging the 2 digits of the number is 9. What is the difference between the 2 digits of the number?

The correct option is C 1Let the number be 10x + y (10x+y)−(10y+x)=9 ⇒ 9x−9y=9 ∴ Required difference x−y=1

The correct option is C 1
Let the number be 10x + y
$(10 x + y) - (10 y + x) = 9$
$\Rightarrow 9 x - 9 y = 9$
$∴$ Required difference $x - y = 1$