Question

Set up equations and solve them to find the unknown numbers in the following:
Add 4 to eight times a number; you get 60.

Answer 1

Hint: In this question, we first need to assume the number as some variable x. Then form the equation by multiplying it with 8 and adding 4 and then equate it to 60 accordingly. Now, solve the equation so formed by rearranging the terms and basic arithmetical operations to get the value of x.

Complete step by step answer:
Let us assume the number be x.
From the above given conditions in the question we get,
\[\begin{align}
  & \Rightarrow 8x+4=60 \\
 & \Rightarrow 8x=60-4 \\
\end{align}\]
\[\begin{align}
  & \Rightarrow 8x=56 \\
 & \Rightarrow x=\dfrac{56}{8} \\
\end{align}\]
\[\therefore x=7\]
Hence, the number is 7.

Note: Instead of considering 4 is added to 8 times a number and consider it as 8 is added to 4 times a number then the equation changes accordingly as:
\[\begin{align}
  & \Rightarrow 4x+8=60 \\
 & \Rightarrow 4x=60-8 \\
 & \Rightarrow 4x=52 \\
 & \Rightarrow x=\dfrac{52}{4} \\
 & \therefore x=\dfrac{21}{2} \\
\end{align}\]
It is important to write the equations accordingly to the given conditions because neglecting any one of the given conditions changes the result completely.