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, 06:53: 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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