Question

A two- digit number is 1 more than 5 times the sum of its digits.If 9 is added to the number, its digits are reversed. Find the number.​

Answer 1

Answer:

let the first digit be x

& the last digit is y

then 10x+y=5(x+y)

or 10x-5x+y-5y=0

or 5x=4y

or x=(4/5)y..................(1)

again

10x+y+9=10y+x

or 9y-9x=9

or y-x=1......................(2)

putting the value of x in(1) to (2)

y-(4/5)y=1

or y=5

putting the value of y in (1)

x=(4/5)*5

or x=4

x=4

y=5....................(ans)