Question 1099311
x equals the older son's share.
y equals the younger son's share.


x + y = 9000


1/5 * x = 1/4 * y + 90


multiply both side of the second equation by 5 to get:


x = 5/4 * y + 450


replace x in the first equation with this to get:


5/4 * y + 450 + y = 9000


combine like terms and subtract 450 from both sides of the equation to get:


9/4 * y = 8550


multiply both sides of this equation by 4/9 to get:


y = 3800


since x + y = 9000, then x = 5200


you have x = 5200 and y = 3800 for a total of 9000


1/5 * x = 1/4 * y + 90 becomes 1/5 * 5200 = 1/4 * 3800 + 90 which becomes 1040 = 950 + 90 which becomes 1040 = 1040 which is true.


your solution is that the older son receives 5200 and the younger son receives 3800.