A certain number is multiplied by 2 and added to 4 it is then multiplied by 3 and divided by 14.If the result is 1.Find the number?
( x ∙ 2 + 4 ) ∙ 3 / 14 = 1
( 6 x + 12 ) / 14 = 1
Multiply both sides by 14
6 x + 12 = 14
Subtract 12 to both sides
6 x = 2
Divide both sides by 6
x = 2 / 6 = 2 ∙ 1 / 2 ∙ 3 = 1 / 3
(2X*4)*3/14=1
6x+12=14*1
6x=14-12
x=2/6 =1/3
(z x 4) x 3/14 =1
(2z + 4) 3/14 =1
6z +12/14 =1
14 (6z + 12 /14) =(1)14
6z + 12 =14
6z =14 - 12
6z = 2
6z/6 =2/6
z =3
Why did the number go to the math party? Because it wanted to divide and conquer!
Now, let's solve the problem step by step.
Let's represent the unknown number as "x". According to the given information,
((2x + 4) * 3) / 14 = 1
Now, let's have some fun solving this equation!
First, let's simplify the equation:
(6x + 12) / 14 = 1
To eliminate the fraction, let's multiply both sides by 14:
6x + 12 = 14
Next, let's isolate the variable by subtracting 12 from both sides:
6x = 2
Finally, let's find the value of x by dividing both sides by 6:
x = 2/6
x = 1/3
Ta-da! The number is 1/3. Keep having fun with math!
To find the number, let's break down the given information step by step:
1. "A certain number is multiplied by 2 and added to 4."
Let's represent the unknown number as 'x'. According to the given information, we get the equation: 2x + 4.
2. "It is then multiplied by 3."
Taking the previous result (2x + 4), multiply it by 3: 3(2x + 4) = 6x + 12.
3. "It is divided by 14."
Divide the previous result (6x + 12) by 14: (6x + 12)/14.
4. "If the result is 1."
Now, we set the expression (6x + 12)/14 equal to 1: (6x + 12)/14 = 1.
To find the value of 'x', we will solve this equation step by step:
Step 1: Multiply both sides by 14 to eliminate the fraction:
14 * (6x + 12)/14 = 1 * 14.
This simplifies to: 6x + 12 = 14.
Step 2: Subtract 12 from both sides to isolate 'x':
6x + 12 - 12 = 14 - 12.
This simplifies to: 6x = 2.
Step 3: Divide both sides by 6 to solve for 'x':
(6x)/6 = 2/6.
This simplifies to: x = 1/3.
Therefore, the number we are looking for is x = 1/3.