Question

in a two digit number, the unit digit is 1 more than twice the tens digit. if the order of the digit is reversed, the new number is 36 more than the given number , find the number

Answer 1

let the tens digit be x

hence units digit would be 2x+1

and the two digit number would be =10(tens digit)+unit digit

=10(x)+2x+1

now,

when the digits are reversed,

we have-

the tens digit of the new number=(unit digit of the original number)= 2x+1

and similarly,unit digit of the new number=x

hence the new number=10(2x+1)+x

given that-

 

the new number is 36 more than the original number

or

10(x)+2x+1+36=10(2x+1)+x

10x+2x+1+36=20x+10+x

12x+37=21x+10

12x-21x=10-37

-9x=-27

x=(-27)/(-9)

x=3  

the number= 10(x)+2x+1

=10(3)+2(3)+1

=30+6+1

=37