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3 years ago

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

Mathematics

2 answers:

Alisiya [41]3 years ago

6 0

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

Y_Kistochka [10]3 years ago

5 0

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.

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Step-by-step explanation:

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3 years ago

What is the equation process to this question?

Andreyy89

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3 years ago

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3 years ago

Read 2 more answers

What is the value of z in the equation 2(4z − 9 − 7) = 166 − 46?

kumpel [21]

Hi there!

2(4z - 9 - 7) = 166 - 46
let's make this a little more simpler...

2(4z - 16) = 120

use distributive property.
multiply 2 and 4z , 2 and -16.
8z - 32 = 120

add 32 on both sides to isolate the variable

8z = 152

divide both sides by 8...

z = 19

So your answer is A. 19

Hope this helped!! :)

8 0

3 years ago

Read 2 more answers

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

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