Question

3. The sum of two consecutive numbers is 65. Find the numbers,​

Answer 1

Answer:

32 and 33

Step-by-step explanation:

let 'x' be the small number

x + x + 1 = 65

   2x + 1 = 65

        2x = 65 - 1

          x = 64/2

          x = 32

     x + 1 = 32 + 1

     x + 1 = 33

∴ the numbers are 32 and 33

Answer 2

$\large{\underline{\rm{\green{\bf{Given:-}}}}}$

Sum of three consecutive numbers = 65

$\large{\underline{\rm{\green{\bf{To \: Find:-}}}}}$

Find the value of the two consecutive numbers.

$\large{\underline{\rm{\green{\bf{Analysis:-}}}}}$

Consider the value of the two consecutive numbers as variables, x and y

Form an equation to find the solution.

$\large{\underline{\rm{\green{\bf{Solution:-}}}}}$

Given that, the sum of three consecutive number is 65

Let us consider the two consecutive numbers to be x and x + 1

According to the analysis,

$\longrightarrow \sf x+x+1=65$

$\implies \sf 2x+1=65$

$\implies \sf 2x=65-1$

$\implies \sf 2x=64$

Finding the value of x

$\implies \sf x=\dfrac{64}{2}$

$\implies \sf x=32$

∴ $\sf x+1=32+1$

$\sf \implies 33$

Therefore, the two consecutive numbers are 32 and 33