An estate of $485,000 is left to three siblings. The eldest receives 3 times as much as the youngest. The middle sibling receives $13,000 more than the youngest. How much did each receive?

Step-by-step explanation:

the youngest received 94,200

the middle received 107,200

the eldest received 283,600

Step-by-step explanation:

Given parameters:

Worth of the estate  = $485000

Unknown:

Amount received by each sibling = ?

Solution:

Let the amount received the eldest  = e

                                                 middle  = m

                                                 youngest  = y

                  e  = 3y

                 m = y + 13000

so;

      e + m + y  = 485000

      3y + y + 13000 + y  = 485000

         5y  = 485000 - 13000

         5y  = 472000

           y  = $94400

Eldest  = 3y  = 3 x 94400 = $283200

Middle  = $94400 + $13000 = $107400

Youngest  = $94400

$15 each

step-by-step explanation:

$45/3 children= $15 each