Answer:
Sydney is 44 years old.
Step-by-step explanation:
State your variables
let x be Devaughn's age
let y be Sydney's age
Write equations using information from the problem
x = y - 6 "Devaughn is 6 years younger than Sydney"
x + y = 82 "The sum of their ages is 82"
Solve using the <u>substitution</u> method
Notice that the first equation equals to "x". The second equation has the letter "x". You can replace the second "x" using the expression in the first equation.
x + y = 82 Second equation. Replace "x" with y - 6.
y - 6 + y = 82 Combine like terms (add the "y"s together)
2y - 6 = 82
Start <u>isolating "y"</u>
2y - 6 + 6 = 82 + 6 Add 6 to both sides
2y = 88
2y/2 = 88/2 Divide both sides by 2
y = 44 Sydney's age
Therefore Sydney is 44 years old.
If you needed Devaughn's age:
Substitute y = 44 in the first equation.
x = y - 6
x = 44 - 6 Subtract
x = 38 Devaughn's age