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34kurt
3 years ago
9

Tristan is 22 years younger than Sydney. 8 years ago, Sydney's age was 2 times Tristan's age. How old is Tristan now?

Mathematics
1 answer:
Serjik [45]3 years ago
4 0

Answer:

Sydney is 52 years old, and Tristan is 30.

Step-by-step explanation:

Represent Tristan's age by t and Sydney's by s.

Then s - 8 = 2(t - 8), and t = s - 22

Substituting s - 22 in the first equation, we get:

s - 8 = 2(s - 22 - 8), or

s - 8 = 2s - 60

Solving for s:  -2s + s = -60 + 8, or -s = -52.

Sydney is 52 years old, and Tristan is 30.

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