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[tex]\frac{m}{s} =\frac{2}{5}[/tex]
Rearrange for s
[tex]s = \frac{5m}{2}[/tex]
After 8 years, the new equation would be:
[tex]\frac{m+8}{s+8} =\frac{1}{2}[/tex]
Cross multiply
[tex]2m+16 = s+8[/tex]
Subtract 8
[tex]2m+8=s[/tex]
Substitute old equation
[tex]2m+8 = \frac{5m}{2}[/tex]
Solve to get m as 16.
s = 40.
Their current ages are 16 and 40 and the different is 24 years. Therefore, Caitlin is correct.
Hope This Helps You!
Good Luck :)
Have A Great Day ^_^
- Hannah ❤
Answer:
Caitlin is correct. The difference is 24 years.
Now, the proportion between Mandy's and Sandy' ages is:
=
5m = 2s
s = 2.5m
In 8 years, the proportion between their ages will be:
=
2(m + 8) = s + 8
2m + 16 = s + 8
2m + 8 = s
Substituting s = 2.5m:
2m + 8 = 2.5m
m = 16
s = 2.5m, so s = 2.5(16) = 40
So Mandy's present age is 16 years and Sandy's present age is 40. The difference in their present ages is 40 - 16 = 24 years.
Step-by-step explanation:
used this for my test and it was right
