Certainly! Let's break down the problem step-by-step to find the number.
1. Let the unknown number be [tex]\(x\)[/tex].
2. Set up the equation based on the problem statement:
According to the problem, adding 29 to one-half of the number [tex]\(x\)[/tex] gives a result of 51. This can be written as:
[tex]\[
29 + \frac{1}{2}x = 51
\][/tex]
3. Isolate the term involving [tex]\(x\)[/tex]:
To find the value of [tex]\(x\)[/tex], we need to isolate [tex]\(\frac{1}{2}x\)[/tex]. First, subtract 29 from both sides of the equation:
[tex]\[
\frac{1}{2}x = 51 - 29
\][/tex]
4. Calculate the right-hand side of the equation:
Subtract 29 from 51:
[tex]\[
51 - 29 = 22
\][/tex]
5. Rewrite the equation with the simplified right-hand side:
Now the equation is:
[tex]\[
\frac{1}{2}x = 22
\][/tex]
6. Solve for [tex]\(x\)[/tex]:
To solve for [tex]\(x\)[/tex], multiply both sides of the equation by 2 (since [tex]\(\frac{1}{2}\)[/tex] is multiplied by [tex]\(x\)[/tex], we use the inverse operation to isolate [tex]\(x\)[/tex]):
[tex]\[
x = 2 \times 22
\][/tex]
7. Calculate the result:
Multiply 2 by 22:
[tex]\[
x = 44
\][/tex]
Therefore, the number is [tex]\(44\)[/tex].
