I think of a number,multiply it by 3 and add 7.i get the Same answer if I multiply the number by 4 and subtract 12.find the number

It really helped me . Thanks.

3n + 7 = 4n - 12

19 = n

3n+7=4n-12

4n-3n=7+12
n=19
=

To find the number, we can set up a system of equations to represent the given information.

Let's assume the number we are trying to find is "x".

According to the given information, we have two equations:

Equation 1: 3x + 7 = 4x - 12
Equation 2: 3x + 7 = 4(x - 12)

To solve this system of equations, we'll start by simplifying Equation 2:

3x + 7 = 4x - 48

Next, we'll isolate the variables on one side of the equation:

3x - 4x = -48 - 7

Simplifying further,

-x = -55

Now we can solve for "x" by multiplying both sides of the equation by -1:

x = (-55) * (-1)

x = 55

Therefore, the number is 55.

To double-check our answer, we can substitute "x" back into the original equation:

3(55) + 7 = 4(55) - 12

165 + 7 = 220 - 12

172 = 208

The left-hand side of the equation is equal to the right-hand side, confirming that our answer, 55, is correct.