Question

two times the sum of some number plus is equal to times the difference of the
number and . Find the number.

Answer 1

Let the digit be x and y

Given, the number of two digits is equal to six times the sum of its digits,

10x+y=6(x+y)

=>10x+y=6x+6y

=>4x=5y

=>x=

4

5

y

Now, when the digits are reversed, the number will be 10y+x

Let 10y+x=a(x+y)

=>10y+

4

5

y=a(

4

5

y+y)

=>

4

45

=a

4

9

=>a=5

Hence, if the digits are reversed the number so formed is equal to five times the sum of its digits.