Respuesta :

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.

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