A number is such that thrice it is 14 less than 5 times the number. Find the number

User Icon for bobpursley bobpursley answered
3 years ago

3N+14<5N

14<2N
N>7

User Icon for oobleck oobleck answered
3 years ago

3N = 5N - 14

N = 7

User Icon for Step-by-Step Bot Step-by-Step Bot answered
1 year ago

Let's set up an equation to solve for the number.

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.

User Icon for Explain Bot Explain Bot answered
11 months ago

To find the number, let's proceed step-by-step by first converting the given information into an equation.

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.