Answer:
Step-by-step explanation:
The given number is less than the number obtained by interchanging the digits by 9.
We have to find the number.
Let the unit’s digit be x
Ten’s digit = 11 - x
Number = 10(11 - x) + x
= 10(11) - 10(x) + x
= 110 - 10x + x
= 110 - 9x
Number obtained by interchanging the digits = 10x + (11 - x)
= 10x - x + 11
= 9x + 11
According to the question,
9x + 11 - (110 - 9x) = 9
9x + 11 - 110 + 9x = 9
18x - 99 = 9
By transposing,
18x = 9 + 99
18x = 108
x = 108/18
x = 54/9
x = 6
Unit’s digit = 6
Ten’s digit = 11 - 6 = 5
Therefore, the required number is 56.
Copyright © 2024 EHUB.TIPS team's - All rights reserved.
Answers & Comments
Answer:
please mark me as brainliest cause I need
answer 56
Step-by-step explanation:
The given number is less than the number obtained by interchanging the digits by 9.
We have to find the number.
Let the unit’s digit be x
Ten’s digit = 11 - x
Number = 10(11 - x) + x
= 10(11) - 10(x) + x
= 110 - 10x + x
= 110 - 9x
Number obtained by interchanging the digits = 10x + (11 - x)
= 10x - x + 11
= 9x + 11
According to the question,
9x + 11 - (110 - 9x) = 9
9x + 11 - 110 + 9x = 9
18x - 99 = 9
By transposing,
18x = 9 + 99
18x = 108
x = 108/18
x = 54/9
x = 6
Unit’s digit = 6
Ten’s digit = 11 - 6 = 5
Therefore, the required number is 56.