Question 1146172
<br>
Ages now:
son x
father y<br>
Ages 4 years ago:
son x-4
father y-4<br>
Ages 6 years from now:
son x+6
father y+6<br>
Using those expressions for the numbers in the problem, write two equations that reflect the given information:<br>
the son's age 4 years ago was 1/2 the father's age 4 years ago: {{{x-4 = (1/2)(y-4)}}}<br>
the son's age 6 years from now will be 3/5 the father's age 6 years from now: {{{x+6 = (3/5)(y+6)}}}<br>
That gives you two linear equation in x and y; solve them by your favorite method.<br>
Note that the problem only asks for the son's age.  Since you don't need to find the father's age (y), choose a method that solves for x first.