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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

Verified Answer :

W0lf93

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.

SociometricStar

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

\(3(n+4)=n+18\)

Now, we solve this equation for n

Distribute 3 over the parenthesis

\(3n+12=n+18\)

Subtract n to both sides

\(2n+12=18\)

Subtract 12 to both sides

\(2n=6\)

Divide both sides by 2

\(n=3\)

Therefore, the required equation is

3(n+4)=n+18

The value of n is 3

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