in a two digital number digital in unit place is twice the digital in tenth place if 27 is added to it digit are reversed find the number
Answers
Answer:
The number is 36
Step-by-step explanation:
Let,
Tens digit = x
Units digit = 2x
Original No = 10x + 2x = 12x
Reverse No. = 10 (2x) + x = 21x
➙ 12x + 27 = 21x
➙ 12x - 21x = -27
➙ - 9x = - 27
➙ 9x = 27
➙ x = 27 / 9
➙ x = 3
Tens digit = 3
Units digit = 2x
➙ 2 (3)
➙ 2 × 3
➙ 6
Units digit = 6
Therefore,
The number is 36
★ Verification :
If 27 is added to it digit are reversed
36
+ 27
-----------
63
----------
Answer:
36 is the req. No.
Step-by-step explanation:
Let the tens digit be x
then the unit digit be 2x
Original No = 10x + 2x = 12x
Reversed No. = 10 (2x) + x = 21x
12x + 27 = 21x
=> 12x - 21x = -27
=> - 9x = - 27
=> 9x = 27
=> x = 27 / 9
=> x = 3
Now,
Tens digit = x = 3
Units digit = 2x = 2×3 = 6
Original no. = 36 .
Verification
Original no. + 27 = reversed no. ..... Given
36 + 27 = 63
Verified.....