# CBSE Class 8 Answered

**The sum of the digits of a 2-digit number is 6. If 18 is added to this number, the number you get is formed by interchanging the digits of the original number. Find the number.**

Asked by sanskrutikute12006 | 04 Oct, 2019, 18:53: PM

Expert Answer

let the digit at tens place be x.

then digit at ones place = 6-x

The number formed is 10x + 6-x = 9x+6

reverse the digits → 10(6-x) + x= 60-10x+x = 60-9x

given

9x + 6 + 18 = 60 - 9x

or, 9x+24 = 60-9x

or, 9x+9x = 60-24

or, 18x = 36

or, x = 36/18

or, x = 2

then digit at ones place = 6-x

The number formed is 10x + 6-x = 9x+6

reverse the digits → 10(6-x) + x= 60-10x+x = 60-9x

given

9x + 6 + 18 = 60 - 9x

or, 9x+24 = 60-9x

or, 9x+9x = 60-24

or, 18x = 36

or, x = 36/18

or, x = 2

Answered by Arun | 06 Oct, 2019, 11:07: AM

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