Respuesta :
Let m be the present age of Madison and c be the present age of Chris.
Since Madison is 16 years older than Chris, the age of Madison can be expressed as,
[tex]m=c+16\text{ ---(1)}[/tex]After 6 years, the age of Madison will be m+6 and the age of Chris will be c+6.
Since it is given that Madison will be double Chris’s age in 6 years, we can write
[tex]m+6=2(c+6)\text{ ---(2)}[/tex]Plug in equation (1) in equation (2) and solve.
[tex]\begin{gathered} c+16+6=2(c+6) \\ c+22=2c+2\times6 \\ c+22=2c+12 \\ c-2c=12-22 \\ -c=-10 \\ c=10 \end{gathered}[/tex]Substitute c=10 in equation (1) to find m.
[tex]\begin{gathered} m=10+16 \\ m=26 \end{gathered}[/tex]Therefore, the present age of Madison is 26 years and the age of Chris is 10 years.
