Solving for the Number
The problem asks for a number that, when added to itself 14 times, results in 135. Let the unknown number be represented by '$x$'.
Adding a number '$x$' to itself 14 times is equivalent to having 15 instances of the number added together:
$x + x + x + \dots + x \quad (15 \text{ times}) = 135$
This can be simplified using multiplication:
$15x = 135$
Calculating the Number
To find the value of '$x$', we need to divide 135 by 15:
$x = \frac{135}{15}$
Performing the division:
$x = 9$
Identifying the Correct Option
The calculated number is 9. Comparing this result with the given options:
- Option A: 9
- Option B: 12
- Option C: 11
- Option D: 8
The number 9 matches Option A.
Similar Questions
Simplify: $3((\frac{5}{3})x^2 - 28x + 15) - 5(x^2 + 6x - 15)$
- The product of two positive numbers is 1445. If the first number is five times of the second number, then the sum of the two numbers is:
- The value of $x$ satisfying the equation $x^2 + a^2 = (b - x)^2$ is:
- Out of four consecutive numbers, the sum of the first two numbers is equal to the fourth number. What is half of the sum of the four numbers?
- If $p = 5 - 2\sqrt{6}$, then find the value of $p^2 + \frac{1}{p^2}$
- Simplify $x(7x - 2) + 5(x^2 - 3) + 13$.
- What is the number of all positive solutions of the equation $|x \times 1| = 0$ ?
- If $a + b = 5$ and $ab = 13$, then what will be the value of $a^3 + b^3$?
- The value of $p^2 - 7p + 12$ at $p = 3$ is:
- One-sixth of a number exceeds its one-ninth by 100, the number is:
Important Questions from Algebric Equations
If m + n = 24, then (m - 16)³ + (n - 8)³ is ____.
For the following equations, what are the values of a and b to have infinitely many solutions?
ax + by = 2
3x - (5 - 2ay) = 6
If m + n = 24, then (m - 16)³ + (n - 8)³ is ____.
For the following equations, what are the values of a and b to have infinitely many solutions?
ax + by = 2
3x - (5 - 2ay) = 6
Simplify the following expression:
\(\frac{(x - y)^3 + (y - z)^3 + (z - x)^3}{(x - y)(y - z)(z - x)}\)
