I believe the answer you are looking for is 16
An solution to an equation = 21 would be something like 2p + 7
if you wanna know how to solve this
here is how:
<span>Simplifying 2p + 7 = 21 Reorder the terms: 7 + 2p = 21 Solving 7 + 2p = 21 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2p = 21 + -7 Combine like terms: 7 + -7 = 0 0 + 2p = 21 + -7 2p = 21 + -7 Combine like terms: 21 + -7 = 14 2p = 14 Divide each side by '2'. p = 7 Simplifying p = 7</span>
<h2>
Systems of Equations Word Problems</h2>
To solve these questions, we can translate key words into operations:
- <em>Difference</em> = subtract
- <em>Twice</em> = double
- <em>Less than</em> = subtract
<h2>Solving the Question</h2>
We're given:
- Difference of Annie's age and twice Carl's age is 22
- Annie's age is 13 less than 3 times Carl's age
There are two variables given two us: Annie's age and Carl's age.
- Let Annie's age be equal to <em>x.</em>
- Let Carl's age be equal to <em>y</em>.
Translate the given information into two equations:
- Difference of Annie's age and twice Carl's age is 22
⇒ 
- Annie's age is 13 less than 3 times Carl's age
⇒ 
Now, we can substitute the fist equation into the second one to solve for <em>y</em>:

Now, substitute <em>y</em> back into the second equation to solve for <em>x</em>:

<h2>Answer</h2>
Therefore, Grandma Annie is 92 years old.