Question

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?

Answer 1

£171

Explanation:

First watch can be x

Second watch can be y.

`x-y=64\\ x+y=278`

`x-y=64\\x=64+y`

Substitute x as 64+y in the second equation.

`x+y=278\\(64+y)+y=278\\64+2y=278\\2y=214\\y=107`

Substitute y as 107 in the first equation.

`x-107=64\\x=171`

Answer 2

£ 171

Explanation:

x-y= 64

x+y= 278

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• 2x= 64+278 ⇒ 2x= 342 ⇒ x= £ 171

• y= 171-64= £ 107