Sum of the digits of a two digit numbers is 9. when we interchange it, it is found that the resulting number is greater than the original number by 27. what is the two digit number? please explain it as i vannot understand it in the NCERT solutions.
Answers
Answered by
0
the number is 36 as 3 plus 6 gives us 9.
and when we interchange the numbers it becomes 63 which is greater than 36.
When u subtract the number u get the answer 27.
Hence 36 is ur answer.
and when we interchange the numbers it becomes 63 which is greater than 36.
When u subtract the number u get the answer 27.
Hence 36 is ur answer.
Answered by
5
Let us assume, x and y are the two digits of the two-digit number
Therefore, the two-digit number = 10x + y and reversed number = 10y + x
Given:
x + y = 9 --------------1
also given:
10y + x = 10x + y + 27
9y - 9x = 27
y - x = 3 ---------------2
Adding equation 1 and equation 2
2y = 12
y = 6
Therefore, x = 9 - y = 9 - 6 = 3
Answer- The two-digit number is 10x+y = 10*3 + 6 = 36
Therefore, the two-digit number = 10x + y and reversed number = 10y + x
Given:
x + y = 9 --------------1
also given:
10y + x = 10x + y + 27
9y - 9x = 27
y - x = 3 ---------------2
Adding equation 1 and equation 2
2y = 12
y = 6
Therefore, x = 9 - y = 9 - 6 = 3
Answer- The two-digit number is 10x+y = 10*3 + 6 = 36
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