Answer:
Patricia is 47 years old
Sharla is 55 years old
Step-by-step explanation:
Rewrite the first sentence as an equation: (S= Sharla) (P= Patricia)
S=P+8
Rewrite the second sentence as an equation:
S+P=102
1) Substitute P+8 as Sharla in the second equation:
P+8+P=102
2) Combine alike terms:
2P+8=102
3) Subtract 8 from both sides:
2P=94
4) Divide both sides by 2:
P=47
5) Substitute 47 as P in the First equation:
S=47+8
6) Solve:
S=55
Answer:
Sharla's age: 55
Patricia's age: 47
Step-by-step explanation:
Let p represent patricia age.
p+(p+8)=102
If we combine like terms, it will end up like this:
2p+8=102
We have to subtract 8 from both sides.
2p=94
We have to divide 2 from both sides.
p=47
Since Patrica's age is 47, and we already know that Sharla is 8 years older than Patrica, Sharla's age is 47+8, which is 55.
Now, we can check our work. Does 47+55=100? Yes.
