Question

13 POINTS.+

Answer 1

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:

$b = w+11$  

$b = 3w-15$

Equate these equations to solve for w, we have;

$w+11 = 3w-15$

Add 15 to both sides we have;

$w+26= 3w$

Subtract w from both sides we have;

$26= 2w$

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:

$w+11 = 3w-15$

Answer 2

$w + 11 = 3w - 15 \\ 2w=26 \\ w=13 \\ b = w + 11 \\ b = (13) + 11=24$