Question

If the solution of the equation $5(2-3x)-17(2x-5)=16$ is $x=\frac{a}{4b}$
then value of $(a+b)=?$ where $\left(b\right)$ is the digit of units place and $\left(a\right)$ is the numerator.

Answer 1

We have to solve the equation $5(2-3x)-17(2x-5)=16$

So,

$\Rightarrow 10-15x-34x+85=16$

$\Rightarrow 79=49x$

$\Rightarrow x=\frac{79}{49}$

So, clearly $a=79$ and $b=9$

Hence, $(a+b)=79+9=88$