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? 
<pre>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
{{{matrix(1,5, x, "=", 28/7, "=", 4)}}}
{{{highlight_green(matrix(2,5, "Kawika's", "age:", 3(4), "=", 12, "Tony's", "age:", 4(4), "=", 16))}}}