Math, asked by anupam3013, 8 months ago

the digits of a two digits no. differ by 3. If the digits are interchanged and the resulting no. is added to the original no. we get 143 . what can be the original no.? ​

Answers

Answered by goelavnish78
3

Answer: The sum of number and the number when its digits are interchanged is 143 . i.e , If you take x - y = 3 then, x = 8 & y = 5 and the number will be 85 .

Answered by Sauron
44

Answer:

Original number = 85

Step-by-step explanation:

Let the unit digit be y

Tens digit = y + 3

⇒ 10 (y+3) + y

Digits interchanged :

⇒ 10y + y +3

⇒ 10 (y+3) + y + 10y + y + 3 =143

⇒ 10y + 30 + 12y + 3 = 143

⇒ 22y + 33 = 143

⇒ 22y = 143 − 33

⇒ 22y = 110

⇒ y = 110 /22

⇒ y = 5

Tens digit = y + 3

⇒ y + 3 = 5 + 3 = 8

Tens digit = 8

Unit digit = 5

Original number = 85

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