Question

The tens digit in a two-digit number is one more than the units digit. The difference between this number and the reverse number is 1 /5 of the reverse number. Find the number

Answer 1

Answer:

let the unit digit is x

then tens digit is is x+1

the number is 10(x+1)+x=10x+10+x=11x+10

reverse number is 10x+x+1=11x+1

according to question,

(11x+10)-(11x+1)=1/5(11x+1)

=> 11x+10-11x-1=1/5(11x+1)

=> 9×5=11x+1

=> 11x=45-1

=> 11x=44

=> x=44/11

=> x=4

so unit digit is 4 and tens digit is 4+1=5

the number is 54