Aaron has 3 times as much money as Josh. If Aaron gives Josh $50, Josh will then have 3 times as much money as Aaron. How much money do two of them have together?...? Mcqs

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Aaron has 3 times as much money as Josh. If Aaron gives Josh $50, Josh will then have 3 times as much money as Aaron. How much money do two of them have together?...?

(A) $100
(B) $110

(C) $135
(D) $150

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Explanation:

Let’s solve the problem step by step:

Step 1: Define the variables

  • Let Josh’s money be xxx.
  • Aaron has 3 times as much money, so Aaron’s money is 3x3x3x.

Step 2: After Aaron gives Josh $50

  • Aaron will have 3x−503x - 503x−50.
  • Josh will have x+50x + 50x+50.

The condition says that Josh will then have 3 times as much money as Aaron:

x+50=3(3x−50)x + 50 = 3(3x - 50)x+50=3(3x−50)

Step 3: Solve for x

x+50=9x−150

x−9x=−150−50

−8x=−200 

x=25x = 25x=25

Step 4: Find the total money

  • Josh has x=25x = 25x=25.
  • Aaron has 3x=753x = 753x=75.

Total money:

25+75=100

Final Answer:

(A) $100

Source: This question is taken from the Assistant Director BS-17 Home Department

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