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givi [52]
2 years ago
12

In 2001 Arnold was x years old. Ken is 34 years younger than Arnold. In 2013 Arnold is three times as old as Ken. Write down an

equation in x and solve it.​
Mathematics
2 answers:
hram777 [196]2 years ago
7 0

Answer:

  • (x +12) = 3((x -34) +12)
  • x = 39

Step-by-step explanation:

The given age ratio is valid 12 years after the age at which Arnold was x years old. When Arnold was x, Ken was x-34.

  (x +12) = 3((x -34) +12) . . . . . the age relation in 2013

__

Solving for x, we have ...

  x +12 = 3x -102 +36

  78 = 2x . . . . . . . add 66-x

  39 = x

In 2001, Arnold was 39 years old.

_____

<em>Additional comment</em>

In 2001, Arnold was 39 and Ken was 5. Ken is 34 years younger.

In 2013, Arnold was 51 and Ken was 17. Arnold was 3 times Ken's age.

zysi [14]2 years ago
5 0

Answer:

x = 54

Step-by-step explanation:

x/3 = x-36

x= 3x-36.3

2x= 36.3

x = 18.3

x = 54

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