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

1 thought on “two times the sum of some number plus is equal to times the difference of the<br /> number and . Find the number.”

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.

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