Question

Form the linear equation from the following statement and then solve.

Sum of three consecutive numbers is $48$. Find the numbers ?

Answer 1

Given :Sum of three consecutive numbers is $48$.

STEP 1: To find the required equation.

Let the number be $x$.

Therefore , the three consecutive numbers can be written as $x,x+1,x+2$ respectively.

As per the question,

Sum of three consecutive numbers is $48$.

Thus, required equation is $x+\left(x+1\right)+\left(x+2\right)=48$.

STEP 2: To find the solution of the equation $x+\left(x+1\right)+\left(x+2\right)=48$.

$x+x+1$$+x+2=48$

$3x+3=48$

Transposing $3$ to the R.H.S,

$3x=48-3$

$3x=45$.

isolating $x$,

$x=\frac{45}{3}$

$x=15$.

Thus, $x=15$ is the solution of $x+\left(x+1\right)+\left(x+2\right)=48$ .

Therefore, the three consecutive numbers are $15,16,17$ respectively.