Question

Claire’s mother is 4 years more than twice Claire’s age. The sum of their ages is 58 years.

Answer 1

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

$Putting\ Eqn\ 2\ in\ Eqn\ 1\\x+(2x+4)=58\\x+2x+4=58\\3x+4=58\\3x=58-4\\3x=54\\Dividing\ both\ sides\ by\ 3\\\frac{3x}{3}=\frac{54}{3}\\x=18$

Putting value of x in Eqn 2

$y=2(18)+4\\y=36+4\\y=40$

Claire is 18 years old and her mother is 40 years old.

Keywords: Linear equations, Substitution method

Learn more about substitution method at:

• brainly.com/question/3306327
• brainly.com/question/3375830

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