A number is added to 9. The result is then multiplied by 4 to give a new result of 120. What is the number ?
a number is added to 9 can be written as 9 is added to a number.
This result is then multiplied by 4, meaning 120 is the result multiplied by 4. Therefore, if we divide 120 by 4, we have the result prior to multiplication.
120/4=30
Therefore, when 9 is added to a number, it gets this number.
30-9=21
The number is 21
Hope this helps!
Answer: The required number is 21.
Step-by-step explanation: Given that a number is added to 9 and the result is then multiplied by 4 to given a new result of 120.
We are to find the number.
Let x represents the given number.
Then, according to the given information, we have
\(4(x+9)=120\\\\\Rightarrow x+9=\dfrac{120}{4}\\\\\Rightarrow x+9=30\\\\\Rightarrow x=30-9\\\\\Rightarrow x=21.\)
Thus, the required number is 21.