Respuesta :

bekkarmahdi702

Answer:

18 and 40

Step-by-step explanation:

Let x be the age of Claire and y the age of her mother

Claire's mother is 4 years more than twice Claire's age

  • y = 2x+4

The sum of their ages are is 58

  • x+y = 58

the system is:

[tex]\left \{ {{y=2x-4} \atop {y+x=58}} \right.[/tex]  

Multiply (y+x = 58) by -1 and then add it to (y = 2x+4) to eliminate y

  • -y-x = -58
  • -y-x+y = 2x+4-58
  • -x -2x = -54
  • -3x = -54
  • x = 54/3
  • x = 18

y= 58-18 = 40

so claire's mother is 40 years old and claire is 18

zohalsekandari77
The answer is 18 and 4