multiply the sum of 4by3 and 11by 4 to 15by7 the product is divided by63by16 what will be the result if 12by9 is subtracted from the position
Answers
Answer: 6
Step-by-step explanation:
Let n = the unknown number.
If 4 is added to the number, then algebraically, this can be expressed as: n + 4.
If this sum is multiplied by 3, then, algebraically, we can express this as:
3(n + 4). If this product is, in turn, equal to 30, then we can write the following equation and solve for n:
3(n + 4) = 30
To solve for n, we need to isolate n on the left side of the above equation, and we begin doing this by dividing both sides of the equation by 3 as follows:
[3(n + 4)]/3 = 30/3
(3/3)(n + 4) = 10
(1)(n + 4) = 10
n + 4 = 10
Now, we finish isolating n on the left, thus solving for n, by subtracting 4 from both sides of the equation:
n + 4 - 4 = 10 - 4
n + 0 = 6
n = 6
CHECK:
Replacing n with 6 in the original equation, we get:
3(n + 4) = 30
3(6 + 4) = 30
3(10) = 30
30 = 30
Therefore, n = 6 is indeed the desired, unknown number.