Question

The ten's digit number is the thrice the unit digit. the new number obtained by interchanging the digit is 54 less than the digital number. find the original number ​

Answer 1

QUESTION:

In a two digit number, the ten's digit is three times the unit digit. when the number is decreased by 54, the digits are reversed. find the number.

ANSWER:

Let the digit at unit's place be x.

GIVEN : digit at Ten’s place = 3x

Number formed :

10 × 3x + x = 30x + x = 31x

Number formed after reversing the digits:

10 × x + 3(x )= 10x +3x = 13x

ATQ,

31x -54 = 13x [Given]

31x -13x = 54

18x = 54

x = 54/18

x= 3

Number = 31x = 31 × 3 = 93

Hence, the number is 93.

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