Question

Form algebraic equation for the following statement and solve -

Sum of four successive numbers is $146$ . Find the numbers.

Answer 1

GIVEN- Sum of four successive numbers is $146$ .

STEP-1 To form the algebraic equation.

Let the value of the first number be $x$.

Therefore, next three consecutive numbers will be $\left(x+1\right),\left(x+2\right),\left(x+3\right)$ respectively.

as per the given condition,

Sum of four successive numbers is $146$.

Therefore, $x+\left(x+1\right)+\left(x+2\right)+\left(x+3\right)$$=146$.

$x+x+x+x$$+1+2+3=146$.

$4x+6=146$

Thus,$4x+6=146$ is the required algebraic equation.

STEP-2 To find the solution of $4x+6=146$

$4x+6=146$

Transposing $6$ to the R.H.S.

$4x=146-6$

$4x=140$.

$x=\frac{140}{4}$

$x=35.$

Therefore, the value of the four consecutive numbers is $35,36,37,38$ respectively.