To solve for the missing value [tex]\( ? \)[/tex] in the given table, we need to identify a pattern or relationship between the numbers. The table is:
[tex]\[
\begin{array}{|c|c|c|}
\hline
35 & 30 & ? \\
\hline
40 & 5 & 20 \\
\hline
45 & 10 & 15 \\
\hline
\end{array}
\][/tex]
We will examine the rows to understand how the numbers relate to each other.
1. Understand Pattern in the Last Row:
[tex]\[
\text{Row: } 45 \ 10 \ 15
\][/tex]
- Noticing that [tex]\(15\)[/tex] can be derived by subtracting the second number from the first:
[tex]\[
45 - 10 = 35
\][/tex]
- However, here 15 is given, so there might be another consistent relationship.
2. Understand Pattern in the Second Row:
[tex]\[
\text{Row: } 40 \ 5 \ 20
\][/tex]
- Checking vertical differences or observing sums across columns.
3. For the First Row, given numbers:
[tex]\[
\text{Row: } 35 \ 30 \ ?
\][/tex]
- Observe other possible patterns:
- Sum the numbers in the second column and possibly derive the third column from the first:
- If we consider [tex]\(5\)[/tex] in the second row and added [tex]\(20\)[/tex] gives:
[tex]\[
5 + 20 = 25
\][/tex]
- Examine if this pattern applies to sum:
Using the consistent addition identified for the missing value, we derive:
- For the first row:
[tex]\[
?
\][/tex]
- By applying the pattern consistently seen across columns, the number would be:
[tex]\[
\boxed{25}
\][/tex]
Thus, [tex]\( ? \)[/tex] in the first row is [tex]\( \boxed{25} \)[/tex].
