Question

The difference of two numbers is five sixth of their
sum and the greater exceeds ten times the lesser by
3. Find the numbers.

Answer 1

Answer

The numbers are 33, 3

Step-by-step explanation:

Let the numbers be x, y

The difference of two numbers is five sixth of their  sum

     x - y = 5/6 of (x + y)

     6 * (x - y) = 5 * (x + y)

       6x - 6y = 5x + 5y

       6x - 5x = 5y + 6y

          x = 11y    -----------equ 1

the greater exceeds ten times the lesser by  3.

x - 10y = 3

11y - 10y = 3   (from equ 1)

    y = 3

x = 11 * 3 = 33