# ICSE Class 8 Answered

**the digits of a two-digit number differ by 3 if the digits are interchanged and the resulting number is added to the original number we get 121 find the original number**

Asked by prajittm | 20 Sep, 2021, 17:47: PM

Expert Answer

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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 121.
10x + y + 10y + x = 121
11x + 11y = 121
x + y = 11 ...(ii)
Solving (i) and (ii) we get x = 7 and y = 4
Hence, the original number is 74.

Answered by Renu Varma | 20 Sep, 2021, 18:37: PM

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