An estate of ​$447,000 is left to three siblings. The eldest receives 3 times as much as the youngest. The middle sibling receives ​$12,000 more than the youngest. How much did each​ receive?

The eldest sibling received $__​, the middle sibling received $​__, and the youngest sibling received ​$__.

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The eldest sibling received $261,000 the middle sibling received $​99,000 and the youngest sibling received ​$87,000

Step-by-step explanation:

Let the youngest to receive x amount

So the eldest will receive 3x

The middle will receive x+12000

For equation for the total amount contributed by sibling shares

x+ 3x+x+12000=447000

5x+12000=447000

5x=447000-12000

5x=435,000

x=435,000/5 = $87000⇒Youngest

3x=3*87000=$261,000⇒Eldest

x+12000=87,000+12000=$99000⇒middle

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