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.?
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Answered by
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
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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