Questions & Answers

Question

Answers

a) -60

b) -72

c) -84

d) -108

Answer
Verified

Solve the above equations and find the value of x and substitute in another equation that is asked.

According to the question, it is said that when we add 40 to the 3 times of the number, it gives the same answer when we multiply the sum of the number and 17 by 2.

So, we have two equations in terms of x.

$\begin{align}

& 3x+40......(1) \\

& 2\left( x+17 \right)......(2) \\

\end{align}$

So, by equating equation (1) and (2), we get:

$\begin{align}

& 3x+40=2\left( x+17 \right) \\

& 3x+40=2x+34 \\

& x=-6......(3)

\end{align}$

Now, we need to find the value when we subtract 9 from the number and multiply the result by 4.

i.e. $4\left( x-9 \right)$

Substitute the value of x from equation (3), we get:

$\begin{align}

& \Rightarrow 4\left( -6-9 \right) \\

& \Rightarrow 4\times -15 \\

& \Rightarrow -60 \\

\end{align}$

The equation for this is $3x+40$

But some might make a mistake here as $3\left( x+40 \right)$