Answer:
number x = 3.
Explanation:
Given : Three times the sum of a number and 4 is the same as 18 more than the number.
To find : what is the number.
Solution : We have given a statement
According to question :
Let the number= x
Sum of the number and 4 = x + 4
Three times the sum of the number and 4 = 3 ( x +4).
18 more than a number = 18 + x .
Three times the sum of a number and 4 is the same as 18 more than the number.
3 (x+4) = 18 + x
On distributing 3 over ( x+4)
3x + 12 = 18 + x
On subtracting both sides by 12
3x = 18 -12 +x
3x = 6+x
On On subtracting both sides by x
3x -x =6
2x = 6
On dividing both sides by 2
x = 3.
To verify plug x = 3 in 3x + 12 = 18 + x
3(3)+12 =18+3
9+12 = 18+ 3
21 =21
Therefore, number x = 3.