The sum of the digits of a two-digit number is 15. If 9 is added to the number, the
digits are interchanged. Find the number.
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Answer:
Answers is 78
solutions
Let the number on one's place be X
therefore , the number on ten's place be 15 - X
then, the number formed
= 10(15-x)+X
=150 -10x +X
150 - 9
The digit are interchange when 9 is added
therefore , the new number
= 10(X) + (15 -x )
= 10x+15- X
=9x +15
Now,
A/Q
= 150 -9x +9 = 9x + 15
= 159 -9x= 9x-15
= -9x -9x = -159 +15
= -18x =-144
= X = 8
therefore , the number become
= 150 -9x
= 150-9×8
= 150 -72
= 78 ans
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