SOLUTION: The ratio of Kawika’s age to Tony’s age is 3:4. Two years ago, their average age was 12 years. How old is Kawika now?

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Question 1134846: The ratio of Kawika’s age to Tony’s age is 3:4. Two years ago, their average age was 12 years. How old is Kawika now?
Found 3 solutions by MathLover1, Alan3354, MathTherapy:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

let Kawika’s age be and Tony’s age
if the ratio of Kawika’s age to Tony’s age is , we have
....solve for

.......eq.1
Two years ago,
Kawika’s age was and Tony’s age was
if their average age was years, we have



....solve for
.......eq.1
from eq.1 and eq.2 we have






answer: Kawika is years old now.
->->
check the ratio:
->->->true

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
The ratio of Kawika’s age to Tony’s age is 3:4. Two years ago, their average age was 12 years. How old is Kawika now?
-----------
Two years ago, their average age was 12 years. ---> the sum was 24
-----
2 years later, the sum is 28.
====================
Ratio is 3:4, sum is 28.
Can you do the rest?
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

The ratio of Kawika’s age to Tony’s age is 3:4. Two years ago, their average age was 12 years. How old is Kawika now? 
Since their average age was 12 years, 2 years ago, then their ages totaled 2(12), or 24, 2 years ago

With their ages summing to 24, 2 years ago, their ages now sum to 24 + 2(2), or 28

Let the multiplicative factor be x

Then Kawika's and Tony's ages are 3x and 4x

This gives us: 3x + 4x = 28

7x = 28



 

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