Respuesta :

mhanifa

Answer:

7 and 1

Step-by-step explanation:

Let the numbers be a and b.

A positive number is 7 times another number:

  • a = 7b

If 3 is added to both the numbers then one of the new number becomes 5 by 2 times the other new number:

  • a+3 = 5/2 × (b +3)

To solve this we substitute a with 7b in the second equation:

  • 7b + 3 = 5/2 × (b +3)               ⇒ multiplying both sides by 2
  • 14b + 6 = 5b + 15                    ⇒ collecting like terms
  • 14b - 5b = 15 - 6
  • 9b = 9
  • b = 1                                        ⇒ solved for b

Then, finding a:

  • a= 7b
  • a=7*1
  • a= 7                                        ⇒ solved for a

So the numbers are 7 and 1

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