Sure! Let's break down the problem step-by-step to translate the sentence into an equation and find Diego's age.
1. Identify the variable:
We are asked to use the variable [tex]\( d \)[/tex] to represent Diego's age.
2. Understanding the sentence:
The sentence says, "The difference of Diego's age and 17 is 43."
- "Diego's age" is represented by [tex]\( d \)[/tex].
- "The difference of Diego's age and 17" means we subtract 17 from Diego's age: [tex]\( d - 17 \)[/tex].
- "Is 43" means that the result of the subtraction is equal to 43.
3. Forming the equation:
When we combine these elements, we get the equation:
[tex]\[
d - 17 = 43
\][/tex]
Now, let’s solve the equation to find the value of [tex]\( d \)[/tex].
4. Solve for [tex]\( d \)[/tex]:
To isolate [tex]\( d \)[/tex], we need to get rid of the -17. We do this by adding 17 to both sides of the equation:
[tex]\[
d - 17 + 17 = 43 + 17
\][/tex]
Simplifying both sides, we get:
[tex]\[
d = 60
\][/tex]
Therefore, Diego's age is [tex]\( \boxed{60} \)[/tex] years old.
