The sum of the digits of a two-digit number is 15. If the number formed by
reversing the digits is less than the original number by 27, find the original
number. Check your solution.
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answer: 63
Step-by-step explanation:
let the ones digit be x
then the tens digit is 9 - x
original number is -
(9-x).10+x
90-10x+x
90-9x
number formed when digits are reversed :
x.10+9-x
10x-x+9
9x+9
according to the question :
9x+9+27=90-9x
9x+36=90-9x
9x+9x=90-36
18x =54
x=54/18
x=3
thus , original number is 90-9x i.e. 90-27=63
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