Question

Sharla is 8 year older than her sister, patricia . The sum of their ages is 102.Find their ages.​

Answer 1

Sharla's age: 55

Patricia's age: 47

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.

Answer 2

Patricia is 47 years old

Sharla is 55 years old

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