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