Respuesta :

Answer:

Bonnie's age is 18

Step-by-step explanation:

Let

x ----> Bonnie's age

y ---> Clyde's age

we know that

[tex]x=y+4[/tex] ----> equation A

[tex]x-10=2(y-10)[/tex]

[tex]x-10=2y-20[/tex]

[tex]x=2y-20+10[/tex]

[tex]x=2y-10[/tex] ----> equation B

substitute equation A in equation B

[tex]y+4=2y-10[/tex]

Solve for y

[tex]2y-y=4+10[/tex]

[tex]y=14[/tex]

Find the value of x

[tex]x=14+4=18[/tex]

therefore

Bonnie's age is 18

Clyde's age is 14

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