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ICSE Class 8 Answered

  the digit of a two digit number differ by 3 if the digit are interchanged and the resulting number is added to the original number we get 143 what can be the original number
Asked by kaushalkanishk2 | 25 Aug, 2019, 06:46: PM
answered-by-expert Expert Answer
Let the two digit number be xy.
 
The digit of a two digit number differ by 3.
Hence, x - y = 3 ...(i)

The digit are interchanged and the resulting number is added to the original number we get 143.
10x + y + 10y + x = 143
11x + 11y = 143
x + y = 13 ...(ii)
Solving (i) and (ii) we get x = 8 and y = 5
Hence, the original number is 85.
Answered by Sneha shidid | 26 Aug, 2019, 09:26: AM

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