# Share the Estate

• Apr 1st 2007, 04:14 AM
aznmartinjai
Share the Estate
An estate valued a \$62,000 is left by will as follow: To each of two grandchildren a certain sum, to the son twice as much as the two grandchildren together, and to the widow \$2,000 more than to the son and grandchildren together. How much goes to each?
• Apr 1st 2007, 04:33 AM
Quick
Quote:

Originally Posted by aznmartinjai
An estate valued a \$62,000 is left by will as follow: To each of two grandchildren a certain sum, to the son twice as much as the two grandchildren together, and to the widow \$2,000 more than to the son and grandchildren together. How much goes to each?

Let's use algebra. both grandchildren together get g amount of money. The son gets s amount of money and the widow gets w

You know that: g+s+w=62000

You also know that: s=2g

Substitute that in: g+2g+w=62000

obviously: w=2000+s+g

Substitute: w=2000+2g+g=2000+3g

So what you get is: g+2g+3g+2000=62000

Change things around: 6g=60000

divide by 6: g=10000

remember that g means the grandchildren put together, separately they get 5000 each.

Can you figure out the rest?
• Apr 1st 2007, 04:40 AM
aznmartinjai
so each grandchildren gets 5,000, son gets 20,000, widow gets 32,000 right?