Answer:
Option 1st is correct
Solve w + 11 = 3w − 15 to find the value of w.
Step-by-step explanation:
Here b represents the Betsey's age and w represents the Waldo's age
As per the statement:
Betsey is 11 years older than Waldo. Betsey's age is 15 years less than three times Waldo's age.
The system below models the relationship between b and w:
[tex]b = w+11[/tex]
[tex]b = 3w-15[/tex]
Equate these equations to solve for w, we have;
[tex]w+11 = 3w-15[/tex]
Add 15 to both sides we have;
[tex]w+26= 3w[/tex]
Subtract w from both sides we have;
[tex]26= 2w[/tex]
Divide both sides by 2 we have;
13 = w
or
w = 13 years
Substitute in b = w+11 we have;
b = 13 +11 = 24 years.
b = 24 years
Therefore. following methods is correct to find Betsey's and Waldo's age is:
[tex]w+11 = 3w-15[/tex]
