Question 1187322
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The statement of the problem is awkward, in that usually "first" child means the first born, which makes that child the oldest.<br>
So I am going to rewrite part of the problem to say that the second child is 7 years OLDER than the fourth.<br>
The ages are not less than 2 and not greater than 10.  If the difference between the ages of the first and third is 8 years, then their ages must be 2 and 10.<br>
So the first child is 10 and the third is 2.<br>
Since no child is less than 2, you now know the age of the fourth child.<br>
And then you know the age of the second, since that child is 7 years older than the fourth.<br>