1 Answer

Kdecom · Answer 1 · 2023-11-04T19:52:41+0000

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,

$m=c+16\text{ ---(1)}$

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

$m+6=2(c+6)\text{ ---(2)}$

Plug in equation (1) in equation (2) and solve.

$\begin{gathered} c+16+6=2(c+6) \\ c+22=2c+2*6 \\ c+22=2c+12 \\ c-2c=12-22 \\ -c=-10 \\ c=10 \end{gathered}$

Substitute c=10 in equation (1) to find m.

$\begin{gathered} m=10+16 \\ m=26 \end{gathered}$

Therefore, the present age of Madison is 26 years and the age of Chris is 10 years.

Please log in or register to add a comment.