3N+14<5N
14<2N
N>7
14<2N
N>7
N = 7
Let's say the number is x.
According to the given information, thrice the number is 14 less than 5 times the number, expressed as:
3x = 5x - 14
To find the value of x, we can solve this equation.
First, let's isolate the variable x on one side of the equation by subtracting 3x from both sides:
3x - 3x = 5x - 3x - 14
0 = 2x - 14
Next, let's isolate the term with x by adding 14 to both sides:
14 = 2x - 14 + 14
14 = 2x
Finally, divide both sides by 2 to solve for the value of x:
14/2 = 2x/2
7 = x
Therefore, the number we are looking for is 7.
Let's assume the number is represented by "x".
According to the problem statement, "thrice it is 14 less than 5 times the number." Mathematically, this can be written as:
3x = 5x - 14
Now, we need to solve this equation to find the value of "x".
Let's simplify the equation by bringing all the "x" terms to one side:
3x - 5x = -14
(-2x) = -14
To solve for "x", we divide both sides of the equation by -2:
(-2x) / -2 = -14 / -2
x = 7
Therefore, the value of the number is 7.