Answer:
Molly is 11 and Bobby is 3.
Step-by-step explanation:
Let Molly's age be m and Bobby's age be b.
[tex]m+b=14[/tex]
Subtract b from both sides:
[tex]m=14-b[/tex] (Equation 1)
[tex]m=5+2b[/tex] (Equation 2)
[tex]14-b=5+2b[/tex] (Both equations are equal to each other as they are equal to m)
Subtract 14 from both sides:
[tex]14-b-14=5+2b-14[/tex]
[tex]-b=2b-9[/tex]
Subtract 2b from both sides:
[tex]-3b=-9[/tex]
Divide both sides by -3:
[tex]\frac{-3b}{-3}=\frac{-9}{-3}[/tex]
[tex]b=3[/tex]
Since [tex]m+b=14[/tex], [tex]m=11[/tex].
