The sum of the digits of a 2 digit number is 12. The given number exceeds the number obtained by interchanging the digits by 36. Find the given number.
Answers
Answer:
84
Let, the tens digit be, x
Then the ones digit = 12 - x
So, the number formed = 10x + 12 - x = 9x +12
And if the digits are interchanged the new number formed = 10( 12 - x) + x
= 120 - 10x + x = 120 - 9x
According to the question,
120 - 9x + 36 = 9x + 12
9x + 9x = 120 + 36 - 12
18x = 144
x = 144/18
= 8
So, the tens place = x = 8
And the ones place = 12 - x = 12 - 8 = 4
Therefore the number is = 84
Step-by-step explanation:
Let,
Units digit = x
Tens digit = 12 - x
No. = 10 (12-x) + x
= 120 - 10x + x
= 120 - 9x
The number obtained by interchanging the digits
No = 10 (x) + 12 - x
= 10x + 12 - x
= 9x + 12
★ ATQ :-
= 120 - 9x = 9x + 12 + 36
= 120 - 9x = 9x + 48
= 120 - 48 = 9x + 9x
= 72 = 18x
= x = 72/18
= x = 4
Unit digit = 4
Tens digit = 12 - x
= 12 - 4 = 8
Tens digit = 8
The number = 84
Therefore, the number is 84.