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### Find this two digit number

In a two digit number, the ten’s digit is three times the units digit.

If 36 is subtracted from the number, the digits interchange their places.
Find this two digit number.

Ans:

We can do this problem by algebraic method.
Let x be the unit's place digit.
Then the ten's place digit is 3x

Also, the number is
$10\times3x+x$
When interchanging their digits, the new number will be 10x+3x
So, when 36 is subtracted from the number,

$10\times3x+x-36=10x+3x$

$\Rightarrow31x-36=13x$

$\Rightarrow18x=36$

$\Rightarrow x=2$

That is units place digit is 2. So then's place digit is 3 times 2 =6

Therefore the number is 62.
Hope you understood this