Three multiplied by the sum of 4 and a number is the same as 18 more than the number. Find the number.. . If n is \"the number,\" which equation could be used to solve for the number?. . . 3n + 4 = n + 18. 4(3 + n) =n + 18. 3(4 + n) =n + 18. 3(4 + n) + 18 > n

Translate the statement to algebraic language: 1) Call x the unknown number 2) The sum of 4 and a number = 4 + x 3) Three multiplied by the sum of 4 and a number = 3(4 + x) 4) Is the same as 18 more than the number: 3( 4 + x) = 18 + x Solve the equation: 3*4 + 3x = 18 + x 3x - x = 18 - 12 2x = 6 x = 6/3 x = 2. The number is 2.

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SociometricStar SociometricStar · Answer 2 · 2019-02-20T04:59:43+01:00

Answer:

3(n+4)=n+18

The value of n is 3

Step-by-step explanation:

Let n be the required number.

Sum of 4 and the number n is (n +4)

Three multiplied by the sum of 4 and the number= 3(n +4)

Now, 18 more than the number = (n + 18)

From, the given directions, we can write the equation

[tex]3(n+4)=n+18[/tex]

Now, we solve this equation for n

Distribute 3 over the parenthesis

[tex]3n+12=n+18[/tex]

Subtract n to both sides

[tex]2n+12=18[/tex]

Subtract 12 to both sides

[tex]2n=6[/tex]

Divide both sides by 2

[tex]n=3[/tex]

Therefore, the required equation is

3(n+4)=n+18

The value of n is 3