A number consists of two digits whose sum is 9. if 9 is subtracted form the number its digits are interchanged. find the numbers.
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Answer:
1
yogeshshivhare
yogeshshivhare
16.10.2017
Math
Primary School
+5 pts
Answered
a number consist of two digit whose sum is 9 if 9 is subtracted from the number the digit interchange their places find the number
2
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shloka2011
shloka2011 Virtuoso
Let the digits at ones place be x
Then the digits at tens place=9-x (sum of two digits is 9)
Therefore the no.=10 (9-x)+x=90-10x+x=90-9x
Now,no. obtained by reversing the digits=10x+9-x=9x+9
it is given if 9 is subtracted from the no.,it's digits are interchanged.
no.-9=no. obtained by reversing the digits.
90-9x-9=9x+9
81-9x=9x+9
81-9=9x+9x
18x=72
x=72/18
x=4
digits at
ones place=x=4
tens place=9-x=9-4=5
the no. is 54.
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Answer:
54
Step-by-step explanation:
5+4=9
54-9=45 it's the interchanged no. of 54