Question

Form algebraic equation for the following statement and solve -

The length of the rope was reduced by $16$ m and it was then found out to be $35$ m long. Find the original length of the rope.

Answer 1

STEP 1: To form the algebraic equation.

L̥et the original length of the rope be $x$ metre.

As per the given condition,

After reducing the length of the rope by $16$ m, the length of the rope was found out to be equal to $35$ m.

Therefore, $x-16=35$

Thus, $x-16=35$ is the required algebraic equation.

STEP 2: To find the solution of $x-16=35$

$x-16=35$

Transposing $16$ to the R.H.S.

$x=35+16$

$x=51$

Therefore, the original length of the rope is $51$ metres.