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Mr. Falcon is 5 times as old as his son. Three years ago he was eight times as old as his son was then. How old is Mr. Falcon?

A. 40 years
B. 35 years
C. 25 years
D. 45 years

1 Answer

2 votes

Final answer:

To solve the problem, set up an equation using the information given. Solve the equation to find the son's current age and substitute it back to find Mr. Falcon's age.

Step-by-step explanation:

To solve this problem, we can set up an equation based on the information given. Let's represent the son's age with the variable 'x'. Since Mr. Falcon is 5 times as old as his son, we can say that his age is 5x.

Three years ago, Mr. Falcon would have been 5x - 3 years old, and his son would have been x - 3 years old. According to the information given, Mr. Falcon was 8 times as old as his son at that time, so we can set up the equation 5x - 3 = 8(x - 3). Solving this equation will give us the son's current age, which we can then substitute back into 5x to find Mr. Falcon's age. Mr. Falcon is 40 years old.

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