a number consists of two digits whose sum is 9. if 27 is subtracted from the number it's digits are reversed. find the number
Answers
Answer :-
→ 63 .
Step-by-step explanation :-
Let the ones digit be x and the tens digit be y.
Now, A/Q,
°•° x + y = 9................(i)
Original number = 10y + x .
And, the number obtained on reversing the digits = 10x + y .
And,
°•°10y + x - 27 = 10x + y
==> 10y - y + x - 10x = 27
==> 9y - 9x = 27
==> 9 ( y - x ) = 27
==> y - x = 3...............(ii)
Now, add in eq. (i) and (ii), we get
x + y = 9
- x + y = 3
-....+......+
----------------
==> 2y = 12 .
•°• y = 6 .
Now, put the value of y = 6 in eq. (i) , we get
==> x + y = 9 .
==> x + 6 = 9 .
==> x = 9 - 6 .
x = 3 .
Therefore, original Number = 10y + x .
= 10 ( 6 ) + 3 .
= 60 + 3 .
= 63.
Hence, The required number is 63.
answer is 18
Step-by-step explanation:
because if you subtract 27 -9 the answer will be 18 and when you reverse it the number is 8+1 and the sum is 9