Answer :
Sure! Let's solve this problem step-by-step.
1. Let the number be x.
2. Add 62 to the number:
The expression becomes [tex]\( x + 62 \)[/tex].
3. Divide the total by 7:
So, the expression is [tex]\( \frac{x + 62}{7} \)[/tex].
4. The result is 4 less than the number thought of:
According to the problem, the expression [tex]\( \frac{x + 62}{7} \)[/tex] is equal to [tex]\( x - 4 \)[/tex].
5. Set up the equation:
[tex]\[
\frac{x + 62}{7} = x - 4
\][/tex]
6. Solve the equation:
- Multiply both sides by 7 to eliminate the fraction:
[tex]\[
x + 62 = 7(x - 4)
\][/tex]
- Distribute the 7 on the right side:
[tex]\[
x + 62 = 7x - 28
\][/tex]
- To solve for [tex]\( x \)[/tex], first subtract [tex]\( x \)[/tex] from both sides:
[tex]\[
62 = 6x - 28
\][/tex]
- Add 28 to both sides to isolate the term with [tex]\( x \)[/tex]:
[tex]\[
62 + 28 = 6x
\][/tex]
- Simplify:
[tex]\[
90 = 6x
\][/tex]
- Finally, divide both sides by 6 to solve for [tex]\( x \)[/tex]:
[tex]\[
x = \frac{90}{6} = 15
\][/tex]
The number you thought of is 15.
1. Let the number be x.
2. Add 62 to the number:
The expression becomes [tex]\( x + 62 \)[/tex].
3. Divide the total by 7:
So, the expression is [tex]\( \frac{x + 62}{7} \)[/tex].
4. The result is 4 less than the number thought of:
According to the problem, the expression [tex]\( \frac{x + 62}{7} \)[/tex] is equal to [tex]\( x - 4 \)[/tex].
5. Set up the equation:
[tex]\[
\frac{x + 62}{7} = x - 4
\][/tex]
6. Solve the equation:
- Multiply both sides by 7 to eliminate the fraction:
[tex]\[
x + 62 = 7(x - 4)
\][/tex]
- Distribute the 7 on the right side:
[tex]\[
x + 62 = 7x - 28
\][/tex]
- To solve for [tex]\( x \)[/tex], first subtract [tex]\( x \)[/tex] from both sides:
[tex]\[
62 = 6x - 28
\][/tex]
- Add 28 to both sides to isolate the term with [tex]\( x \)[/tex]:
[tex]\[
62 + 28 = 6x
\][/tex]
- Simplify:
[tex]\[
90 = 6x
\][/tex]
- Finally, divide both sides by 6 to solve for [tex]\( x \)[/tex]:
[tex]\[
x = \frac{90}{6} = 15
\][/tex]
The number you thought of is 15.
