Respuesta :
Kara: 30 Cassie:12
Step-by-step explanation:
N+2n-3=42
3n-3=42
3n=42+3
3n=45/3
n=15
Karas age: 2n= 30
Cassies age n-3= 12
A: Kara is old 30 years,Cassie is 12
I hope I helped
Equation to find Kara's age is [tex]n + (2n - 3) = 42[/tex].
Kar's age is 15, Cassie's age is 27.
What is an equation?
An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation.
According to the question
Cassie’s age is 3 less than twice Kara’s age. The sum of their ages is 42.
Based on the given conditions
Equation to find Kara's age is
[tex]n + (2n - 3) = 42[/tex]
⇒ [tex]n+2n-3 =42[/tex]
⇒ [tex]3n -3 =42[/tex]
Add 3 on both sides
⇒ [tex]3n-3+3=42+3[/tex]
⇒ [tex]3n=45[/tex]
⇒ [tex]n=\frac{45}{3}[/tex]
⇒ [tex]n=15[/tex]
Kar's age n is 15
Cassie's age = 2n - 3
= [tex]2(15) - 3[/tex]
= [tex]30 - 3[/tex]
= 27
Equation to find Kara's age is [tex]n + (2n - 3) = 42[/tex].
Kar's age is 15, Cassie's age is 27.
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