Claire is 18 years old and her mother is 40 years old.
Step-by-step explanation:
Let,
Claire's age = x
Her mother's age = y
According to statement;
x+y=58 Eqn 1
y=2x+4 Eqn 2
[tex]Putting\ Eqn\ 2\ in\ Eqn\ 1\\x+(2x+4)=58\\x+2x+4=58\\3x+4=58\\3x=58-4\\3x=54\\Dividing\ both\ sides\ by\ 3\\\frac{3x}{3}=\frac{54}{3}\\x=18[/tex]
Putting value of x in Eqn 2
[tex]y=2(18)+4\\y=36+4\\y=40[/tex]
Claire is 18 years old and her mother is 40 years old.
Keywords: Linear equations, Substitution method
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Answer:
Claire is 18 years old and her mother is 40 years old.
Step-by-step explanation:
