Respuesta :

Answer:

x = 41/3

y = 199/3

Step-by-step explanation:

Solve using system of equations

x is smaller number, y is larger

eq1> y + 2 = 5x > y = 5x - 2

eq2> 80 = x + y > y = 80 - x

equate

80 - x = 5x - 2

Solving:

x = 41/3

y = 199/3

The correct answer is as follows

  • Smaller no. is 13
  • Larger no is 67.

How to Solve the problem?

The problem can be solved by following steps

Let the smaller number  be x

Larger number  = 5x+2

Sum of the number is 80

Therefore ,

x+5x+2=80

6x = 78

x=78/6

x= 13

Smaller number = x= 13

Larger number = 5(13)+2=65+2=67

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