Question

A difference of two digit number and interchange of the digit is 72. Find the difference of the digit​

Answer 1

$\bf\pink{QuestioN:-}$

A difference of two digit number and interchange of the digit is 72. Find the difference of the digit​.

$\bf\red{AnsweR:-}$

Let the ten digit be x, unit digit is y.

Then,

$\purple:\implies\bf{ (10x + y) - (10y + x) = 72}$

$\purple:\implies\bf{ 9x - 9y = 72}$

$\purple:\implies\bf{ x-y = \dfrac{72}{9}}$

$\purple:\implies\bf{ x-y= 8}$

Hence the difference between the digits are 8.

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