William is 17 years old and Charmaine is 14 years old.
Step-by-step explanation:
Let x be the age of William and y be the age of Charmaine
Then
William is 3 years, older than Charmine.
x = y+3 Eqn 1
The sum of 3 times Charmaine's age and 2 times William's age is 76.
2x+3y = 76 Eqn 2
Putting x = y+3 in Eqn 2
[tex]2(y+3)+3y=76\\2y+6+3y=76\\5y+6=76\\Subtracting\ 6\ from\ both\ sides\\5y+6-6=76-6\\5y=70\\Dividing\ both\ sides\ by\ 5\\\frac{5y}{5} = \frac{70}{5}\\y=14\\Putting\ the\ value\ of\ y\ in\ Eqn\ 1\\x=y+3\\x=14+3\\x=17[/tex]
Hence,
William is 17 years old and Charmaine is 14 years old.
Keywords: Linear equations, Variables
Learn more about linear equations at:
- brainly.com/question/899976
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