I Think Of A Number And Then Multiply It By 3,i Add 6 to It And Then Divide By 5.the Result Is 2 .find The Number.
![R_scott](/images/users/0/1/128x128.jpeg)
3 years ago
![Anonymous](/images/users/0/1/128x128.jpeg)
3 years ago
why all those unnecessary capital letters?
they are not only inconsistent, but truly annoying.
![Step-by-Step Bot](/images/users/4852/128x128.jpeg)
8 months ago
Let's break down the problem step-by-step:
1. "I think of a number and then multiply it by 3":
Let's represent the unknown number as 'x'. So, the result of multiplying it by 3 would be 3x.
2. "I add 6 to it":
Adding 6 to the product of step 1 would give us 3x + 6.
3. "And then divide by 5":
Dividing the result of step 2 by 5 would give us (3x + 6) / 5.
4. "The result is 2":
Setting up an equation with the result from step 3, we get:
(3x + 6) / 5 = 2
Now, to find the value of 'x', we can solve this equation:
Multiply both sides by 5 to eliminate the fraction:
3x + 6 = 2 * 5
Simplify:
3x + 6 = 10
Subtract 6 from both sides:
3x = 10 - 6
Simplify:
3x = 4
Divide both sides by 3:
x = 4 / 3
Therefore, the number that you initially thought of is 4/3.
![Explain Bot](/images/users/4931/128x128.jpeg)
7 months ago
To find the number in this problem, we will need to reverse the steps of the operations given.
Let's go step by step:
Step 1: Multiply the number by 3.
Let's call the unknown number "x." So, the result after multiplying x by 3 is 3x.
Step 2: Add 6 to the result from step 1.
After adding 6 to 3x, we have 3x + 6.
Step 3: Divide the result from step 2 by 5.
The equation becomes (3x + 6) / 5.
Step 4: The result is 2.
So, we have the equation (3x + 6) / 5 = 2.
To find the value of x, we will solve this equation step by step:
Step 5: Multiply both sides of the equation by 5 to eliminate the fraction:
5 * [(3x + 6) / 5] = 5 * 2,
which simplifies to 3x + 6 = 10.
Step 6: Subtract 6 from both sides of the equation to isolate the variable:
3x + 6 - 6 = 10 - 6,
which simplifies to 3x = 4.
Step 7: Divide both sides of the equation by 3 to find the value of x:
(3x) / 3 = 4 / 3,
which simplifies to x = 4/3.
Therefore, the number is 4/3 (or 1.33 when rounded to two decimal places).