Question64 is 4 times the difference between Sarah's age, , and 44. Assume Sarah is older than 44.
Write an equation to determine Sarah's age (a).
Find Sarah's age.
Studdy Solution
STEP 1
What is this asking? We need to find Sarah's age, knowing that 64 is 4 times the difference between her age and 44. Watch out! It's easy to mix up the order in the subtraction, so remember Sarah is *older* than 44!
STEP 2
1. Set up the equation
2. Isolate Sarah's age
3. Calculate Sarah's age
STEP 3
Alright, let's **translate** this word problem into an equation!
The problem says "64 is 4 times the *difference* between Sarah's age, , and 44." The *difference* between Sarah's age () and 44 is written as , since Sarah is older than 44.
STEP 4
Now, 4 *times* this difference is .
The problem says this is *equal* to 64.
So, our equation is !
STEP 5
Let's **solve** for !
We want to get all by itself on one side of the equation.
First, we can **divide both sides** of the equation by **4**.
We're doing this to turn the multiplying into .
Remember, we're dividing to one!
STEP 6
Now, we **add 44 to both sides** of the equation.
We're doing this to turn the into zero.
Remember, we're adding to zero!
STEP 7
So, Sarah's age is **60**!
Let's **double-check** our work.
The difference between Sarah's age and 44 is .
Four times this difference is , which matches the problem!
STEP 8
Sarah's age, , can be found using the equation .
Solving this equation, we find that Sarah is **60** years old.
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