The larger of two numbers is 10 more than the smaller number. Also, five times the larger number
is 40 more than 6 times the smaller number. Find both numbers.

Respuesta :

Answer:

           10 and 20

Step-by-step explanation:

x    - the smaller number

x 10  - the larger number

5(x+10)   - five times the larger number

6x     - 6 times the smaller number

6x+40     - 40 more than 6 times the smaller number

6x + 40 = 5(x + 10)

6x + 40 = 5x + 50

      -40        -40

  6x  =  5x + 10

 -5x         -5x

   x = 10

x+10 = 10 + 10 = 20