Question

# A number consists of two digits whose sum is $$13$$. If $$27$$ is subtracted from the number , the digits are reversed. Find the number.

Solution

## $$Let$$ that no. be $$10x+y$$$$Given,$$ $$x+y=13$$..........1According to question,$$10x+y-27=10y+x$$$$9x-9y=27$$$$x-y=3$$ .........2Now substitute  the value of  $$x$$ from 2 to 1$$y+3+y=13$$$$2y=10$$$$y=5$$Now put the value of y in 2$$x-5=3$$$$x=8$$so, that no. is $$10(8)+5$$ $$=$$ $$85$$Mathematics

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