Answer:
6 years old
Step-by-step explanation:
Let [tex]f[/tex] represent Faith's current age and let [tex]p[/tex] represent Precious's current age.
Faith is 16 years older than Precious:
[tex]f=p+16[/tex]
In 10 years' time, Faith will be double Precious's age:
[tex]f+10=2(p+10)[/tex]
We can substitute the top equation into the bottom equation:
[tex](p+16)+10=2(p+10)[/tex]
We can combine like terms on the left side and expand out the right side:
[tex]p+26=2p+20[/tex]
We can subtract p from both sides, and then subtract 20 from both sides to get:
[tex]6=p[/tex]
This means Precious is 6 years old.