Divide an estate of $35000 among three son so that the second son gets 5000 more than youngest and the eldest twice as much as youngest. how much does each get

Question

This is a word problem.  

Answer 1

Here's what we know:

a + b + c = 35000

b = c + 5000

a = 2c

 

Now that we have values for them, let's put them into the equation:

2c + c + 5000 + c = 35000

4c + 5000 = 35000

4c = 30000

c = 7500

 

Now that we have the youngest, we can solve for the others:

b = 7500 + 5000

b = 12500

 

a = 7500 * 2

a = 15000

 

Check:

15000 + 12500 + 7500 = 35000

15000 + 20000 = 35000

35000 = 35000