6. The sum of digits of a 2-digit number is 11. If the number obtained by reversing the
digits is 9 less than the original number, find the number.
Answers
Answered by
1
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Answer : The answer is 65 as the sum of 6 and 5 is 11 and if 65 is reversed,
It forms the no. 56 which is 9 less than 65 .
Hope this answer helps
Answered by
1
Answer:
let the digits are x and y
then x+y=11
reversing the digits the number is 10y+x
10y+x+9=10x+y
9x-9y=9
x-y=1
x+y=11
adding,2x=12
x=12/2=6
y=11-6=5so the number is 65
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