in a two digit no. the unit digit is 1 more than twice the tens digit number if we reverse the digits the new no. is 36 more than the new no.
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Let the tens digit be x.
Hence, the units digit will be 2x
Number =10×(x)+(2x)=12x
When 36 is added to the number, the new number formed =12x+36
As the digits are reversed, we can also write the new number as 10×(2x)+x=21x
Hence,
12x+36=10×(2x)+x
⇒12x+36=21x
⇒21x−12x=36
⇒9x=36
⇒x=4
Hence, the original number =12x=12×4=48
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