Question

if a number is multiplied by 4 it give the same result as when 25 is added to it find the number ​

Answer 1

Answer:

If 4 is added to a number and the sum is multiplied by 3, the result is 30, what is the number?

Ad by All Out®

Tired of mosquito bites? Use All Out®.

Over 30 years of trusted family protection against mosquitoes.

Shop Now

23 Answers



William Mccoy, A former high school math teacher (Grades 9, 10, and 11). I have a Bachelor of Science Degree in Math Ed. (19…

Answered January 21, 2018 · Author has 2.6K answers and 10.5M answer views

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.