The digit in the tens place of a two-digit number is three times that in the units place. If the digits are reversed,the new number will be 36 less than the original number ,Find the original number.check your solution

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Solution

According to question
let, the unit digit = x then the tens digit = 3x because according to question tens digit is 3 times of unit digit.
Now the number = 10(3x) + x = 31x -------(1)
Now , reversing the original number = 10x + 3x
10x + 3x = 31x -36 (given)
36 = 31x -13x
36 = 18x
Now x = 2
put the value of x in eq'n 1 ,
31(2)= 62
the original number obtained is 62

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