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2 years ago

Austin is 69 years younger than Jamie. 3 years ago, Jamie's age was 4 times Austin's age. How old is Austin now?

Mathematics

1 answer:

matrenka [14]2 years ago

4 0

Answer: 26 years old

Step-by-step explanation:

Create an equation with Austin as x and Jamie as x+69 (I just like workin with addition signs more)= 4(x-3)= x+69-3
Simplify the equations --> 4x-12=x+66
Solve the equation: 3x-12=66 --> 3x=78 --> x=26

This is the same as other age problems, just with the extra step of distributing the multiplication.

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Answer: 5

Step-by-step explanation:

Since $\overline{GH} \parallel \overline{DE}$ , by the corresponding angles theorem, $\angle FGH \cong \angle FDE, \angle FHG \cong \angle FED$ . This means $\triangle FGH \sim \triangle FDE$ by AA.

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However, as distance must be positive, we consider the positive solution, x=5.

Therefore, the answer is <u>5</u>

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