Question 1094638
<br>Do some logical analysis before you plunge into the algebra, to make the problem easier!<br>
If the sum of their current ages is 100, then 16 years ago that sum was 68.
If 16 years ago Bob was three times as old as Carol, then
{{{x+3x = 68}}}
{{{4x=68}}}
{{{x=17}}}<br>
16 years ago, Carol was x=17 and Bob was 3x=51.
When Carol was born, Bob was 51-17 = 34.