Question

The units place digits of a two digit number is four times the digits in the ten's place if the digits are reversed and the original number is subtracted from the new number the difference is 54 find the original number?

Answer 1

Answer:

28

Step-by-step explanation:

Using Hit and Trial Method, we can find two "original" 2-digit no. fulfilling the first condition (The units place digits of a two digit number is four times the digits in the ten's place)

• 14 is the first no. we get. Unit place (4) is four times the ten's digit (1)

• 28 is the second no. we get. Unit place (8) is four times the ten's digit (2)

Check which no. is right by using the second condition ( if the digits are reversed and the original number is subtracted from the new number the difference is 54)

• 14 reversed is 41,

        So when original number is subtracted from the new number:

                  41 - 14 = 27    

        Since, 27  ≠  54

        14 is not the Original No.

• 28 reversed is 82,

        So when original number is subtracted from the new number:

                  82 - 28 = 54

         Since, 54 = 54

         28 is the Original No.

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