Let's determine Jon's age given that Jon is 3 years younger than Laura and the product of their ages is 1,330.
1. Let [tex]\( j \)[/tex] represent Jon's age.
2. Therefore, Jon's age [tex]\( j \)[/tex] and Laura's age [tex]\( j + 3 \)[/tex] can be expressed using [tex]\( j \)[/tex].
3. Given that the product of their ages is 1,330, we can set up the following equation:
[tex]\[
j \times (j + 3) = 1330
\][/tex]
4. To find [tex]\( j \)[/tex], we solve the quadratic equation:
[tex]\[
j^2 + 3j - 1330 = 0
\][/tex]
5. Solving this equation, the potential solutions for [tex]\( j \)[/tex] are [tex]\( -38 \)[/tex] and [tex]\( 35 \)[/tex].
Since age cannot be negative, we discard [tex]\( -38 \)[/tex].
Thus, Jon's age, [tex]\( j \)[/tex], is:
[tex]\[
35
\][/tex]
So, in the box, write:
[tex]\(
\boxed{35}
\)[/tex]
