Math, asked by varshika123, 1 month ago

A number consists of two digits whose sum is 9 if 27 subtracted from the number its digits are reversed .Find the number.
answer in one variable ​

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Answered by 19470100086
0

Answer:

63

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A number consists of two digits whose sum is 9. If 27 is subtracted from the number its digits are reversed. Find the number.

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Let the number =ab=10a+b

Sum of digits =9

a+b=9

number −27=number with reversrd digits

10a+b−27=10b+a

9(a−b)=27

a−b=3

(a+b)+(a−b)=9+3⇒a=6,b=3

∴ Required number is 63

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