The age of Austin, given the data from the question is 8 years
Assumption
- Let Austin's age be y
- Let Alexa's age be x
How to determine Austin's age
From the question given,
1. Their ages are consecutive even integers i.e x, x + 2
But
Austin is older than Alexa.
Therefore,
Austin = y = x + 2
2. Austin's age and 2 times Alexa's age is 20.
Austin + 2(Alexa) = 20
y + 2x = 20
But
y = x + 2
x = y - 2
Therefore,
y + 2x = 20
y + 2(y - 2) = 20
Clear bracket
y + 2y - 4 = 20
3y - 4 = 20
Collect like temrs
3y = 20 + 4
3y = 24
Divide both sides by 2
y = 24 / 3
y = 8
Thus,
Austin = y
Austin = 8 years
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