A number consists of two digits whose sum is 15 if 27 is subtracted the digits are reversed find the number PLEASE ANSWER STEP BY STEP
Answers
Answered by
5
Answer:
96
Step-by-step explanation:
Let the digit in the unit place be x. Then, digit in the tens' place = (15-x).
Therefore, the number is 10x+15-x=9x+15.
So, the new number by reversing=10(15-x)+x=150-10x+x=150-9x.
Also, the new number is 9x+15-27=9x-12.
Therefore,
150-9x=9x-12
or, 9x+9x=150+12
or, 18x=162
or, x=162/18
or, x=9
Therefore, the number = 10×9+15-9 = 96
Answered by
3
let one digit be x
and ten digit be y
therefore the number is 10y+x
also x+y=15=> v=15-x
10y+x27=10x+y
put y=15-x
10(5-x) +x-27=10x+15-x
x=6
y=9
number=96
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