Question 1100302
x = dave's age now.


dave's father's age now is therefore x + 30


2 year's ago, dave's age was (x-2).


2 year's ago, dave's father's age was (x-2) + 30 = x + 28


2 years's ago, 3 times dave's age then was 20 more than half of his father's age then.


3 * (x-2) = 1/2 * (x + 28) + 20


simplify this to get:


3x - 6 = 1/2 * x + 14 + 20


combine like terms to get:


3x - 6 = 1/2 * x + 34


subtract 1/2 * x from both sides of this equation and add 6 to both sides of this equation to get:


3x - 1/2 * x = 40


combine like terms to get:


2.5 * x = 40


solve for x to get x = 40 / 2.5 = 16


that's dave's age today.
his father's age today is 46


2 years ago:


dave was 14
his father was 44


3 * 14 = 42
1/2 * 44 + 20 = 22 + 20 = 42


3 times dave's age 2 years ago is equal to 20 more than half dave's father's age 2 years ago.


solution looks good.


solution is dave's age today is 16.