Question

What should be subtracted from $\left(2a+8b+90\right)$ to get $\left(-3a+7b+16\right)$$?$

Answer 1

Let we should subtract the expressions $k$

So, from the given statement, we get

$\left(2a+8b+90\right)-k=\left(-3a+7b+16\right)$

$\Rightarrow \left(2a+8b+90\right)-\left(-3a+7b+16\right)=k$

$\Rightarrow k=2a+8b+90+3a-7b-16$

Adding and subtracting like terms, we get

$k=(2a+3a)+\left(8b-7b\right)+\left(90-16\right)$

$\therefore k=5a+b+74$

Hence $5a+b+74$ should be subtracted from $\left(2a+8b+90\right)$ to get $\left(-3a+7b+16\right).$