SOLUTION: Catherine's present age is two-thirds of Criselda's present age. In twelve years, the sum of their age will be 54 years. Find their present age.

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Question 833425: Catherine's present age is two-thirds of Criselda's present age. In twelve years, the sum of their age will be 54 years. Find their present age.
Found 2 solutions by JulietG, MathTherapy:
Answer by JulietG(1812)   (Show Source): You can put this solution on YOUR website!
Let C represent Catherine
Let R represent Criselda
12+C + 12+R = 54
C = 2/3R
substitute the value of C
12 + 2/3R + 12 + R = 54
subtract 24 from each side
2/3R + R = 30
Add Rs
5/3 R = 50
Multiply each side by 3 to get rid of the fraction
5R = 150
Divide by 5
R = 30
.
Let's check.
Catherine's present age is 2/3 of Criselda's (2/3 * 30 = 20)
In 12 years, they'll be 22 and 32. Added together, that's 54.
Success!
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Catherine's present age is two-thirds of Criselda's present age. In twelve years, the sum of their age will be 54 years. Find their present age.


Criselda's current age:  

Catherine's current age: 

You can do the check!! 



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