Question 1105530
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If the sum of their ages now is 38, then the sum of their ages 4 years ago was 30.<br>
Since 4 years ago the older brother's age was the square of the younger brother's age, you need to find two numbers, one the square of the other, whose sum is 30.  That should be easy;those two numbers are their ages 4 years ago.<br>
Then add 4 to each of their ages 4 years ago to get their current ages.