Caitlin says the difference in their ages is 24 years. In two or more complete sentences, explain whether or not Caitlin is correct. In your explanation, include the equations and calculations necessary to support or contradict Caitlin's answer.

Respuesta :

Hello There!

I feel as though you missed out a part of your question but i have already done this so i know the question.
Mandy's age can be represented as m
Sandy's age can be represented as s.
[tex] \frac{m}{s} [/tex] = [tex] \frac{2}{5} [/tex]
s = [tex] \frac{5m}{2} [/tex]
After 8 years:
[tex] \frac{m+8}{s+8} [/tex] = [tex] \frac{1}{2} [/tex]
Equation:
2m + 16 = s + 8
2m + 8 = s
2m + 8 = [tex] \frac{5m}{2} [/tex]
Therefore, m = 16
s = [tex] \frac{5m}{2} [/tex]
s = [tex] \frac{5(16)}{2} [/tex]
s = 40
Mandy is 16 now
Sandy is 40 now
40 - 16 = 24
Therefore, Caitlin is correct.

Hope This Helps You!
Good Luck :) 

- Hannah ❤
Mandy and sandy's present ages are 16 years and 40 years respectively.
and the difference in their ages is 24 years.
So, Caitlin is right.