micah has two valuable watches the difference in their value is £64 Together they are worth £278 how much is the most valuable watch worth?

Respuesta :

Answer:

£ 171

Step-by-step explanation:

x-y= 64

x+y= 278

-------

  • 2x= 64+278 ⇒ 2x= 342 ⇒ x= £ 171
  • y= 171-64= £ 107

Answer:

£171

Step-by-step explanation:

First watch can be x

Second watch can be y.

[tex]x-y=64\\ x+y=278[/tex]

[tex]x-y=64\\x=64+y[/tex]

Substitute x as 64+y in the second equation.

[tex]x+y=278\\(64+y)+y=278\\64+2y=278\\2y=214\\y=107[/tex]

Substitute y as 107 in the first equation.

[tex]x-107=64\\x=171[/tex]