Question 1123818

the sum of the ages of three sisters is 64. the age of the oldest is twice the age of the youngest. the ages of the two older sisters is a difference of six years. what is the age of the youngest sister?
<pre>Let the youngest’s age be Y
Then oldest’s is 2Y
Also, middle sister’s is: 2Y - 6 
We then get: Y + 2Y + 2Y – 6 = 64
5Y = 70
Y, or youngest is: {{{highlight_green(matrix(1,4, 70/5, "=", 14, years-old))}}}