Caelan is saving to buy a vacation home. He inherits some money from a wealthy uncle, then combines this with the $ 24162 he has already saved and doubles the total in a lucky investment. He ends up with $ 146012 , just enough to buy a cabin on the lake. How much did he inherit?

The amount inherited is $48,844

Step-by-step explanation:

Here, we want to know the amount of money inherited by Caelan.

Let the amount be $x

From the question, the amount inherited was combined with 24,162 and doubled in an investment to give 146,012

Thus, the amount before the lucky investment will be;

x + 24,162

Thus , after doubling, the amount becomes;

2(x + 24,162)

and this equals 146,012

2(x + 24,162) = 146,012

divide both sides by 2

x + 24,162 = 73,006

x = 73,006 - 24,162

x = $48,844

(x, y)→(x − 8, y − 7)

step-by-step explanation:

enjoy!