A number consists of two digits.the digits at the ones place is 3 times the digit at the tens place.if 36 is added to the number the digits are reversed. Find the number.

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Solution

Let the digit at the tens place be x.
Then,the digit at the units place=3x
So, the number=10x+3x=13x
Now, if we interchange the digits,
thenthe units digit=x and the tens digit=3x
So, the new number=30x+x=31x
A.T.Q.,
13x+36=31x
⇒31x−13x=36
⇒18x=36
⇒x=36/18
⇒x=2
So, the given number=13×2=26

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