SOLUTION: The ratio of the ages of Mandy and Sandy is 2:5. After 8 years, their ages will be in the ratio 1:2. What is the difference between their present ages? Caitlin says the differen

Question 1029839: The ratio of the ages of Mandy and Sandy is 2:5. After 8 years, their ages will be in the ratio 1:2. What is the difference between their present ages?
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.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = Mandy's age now
Let = Sandy's age now
--------------------------
(1)
(2)
-----------------------------
Multiply both sides of (2) by
(2)
(2)
(2)
and
(1)
(1)
By substitution:
(2)
(2)
(2)
and
(1)
(1)
(1)
-----------------

-----------------
Yes the difference in their ages is 24
-----------------
check:
(2)
(2)
(2)
(2)
OK
(1)
(1)
(2)
OK
RELATED QUESTIONS
The ratio of the ages of Mandy and Sandy is 2:5. After 8 years, their ages will be in the (answered by anand429)

The ratio of the ages of Mandy and Sandy is 2:5. After 8 years, their ages will be in the (answered by josgarithmetic)

The ratio of the ages of Shahzad and Waseem is 2:5. After 8 years, their ages will be in... (answered by Fombitz)

The ratio of present ages of two brothers is 1 : 2 and 5 years back, the ratio was 1 : 3. (answered by josgarithmetic,ikleyn,amalm06)

Sandy is 7 years younger than Mandy. In 4 years time she will be half Mandy�s age.What is (answered by lwsshak3)

The ages of Ravi and Raja are in the ratio 5:12. After 6 years the ratio of their ages... (answered by Edwin McCravy)

The total ages of a father and son now is 50 years .after 10 years their ages will be in... (answered by richwmiller)

1. The present ages of Lewis and Brown are in the ratio 1:2. Three years from now, the... (answered by josmiceli)

the average age of women and her daughter is 21years.the ratio of their ages 5:1.what... (answered by stanbon)