126k views
4 votes
faith is 16 years older than precoius in 10 years time. faith will be double Precious age. How old is precious?​

User Yuris
by
3.6k points

1 Answer

4 votes

Answer:

6 years old

Explanation:

Let
f represent Faith's current age and let
p represent Precious's current age.

Faith is 16 years older than Precious:


f=p+16

In 10 years' time, Faith will be double Precious's age:


f+10=2(p+10)

We can substitute the top equation into the bottom equation:


(p+16)+10=2(p+10)

We can combine like terms on the left side and expand out the right side:


p+26=2p+20

We can subtract p from both sides, and then subtract 20 from both sides to get:


6=p

This means Precious is 6 years old.

User Adam Obeng
by
3.5k points