Question

the sum of two consecutive odd numbers is 58 find the numbers​

Answer 1

Step-by-step explanation:

The numbers are 28 and 30 please mark me as

Answer 2

Answer :

$\large \boxed {\rm{ \purple{ 28 \: \& \: 30 }}}$

Given :

• Sum of two consecutive odd numbers is $\rm{ \red{58}}$.

To Find :

• The numbers?

Calculation :

Let's assume the number as 'x'

Also, let the first consecutive odd number be :-

• $\rm{ \blue{x + 2}}$

As we know that, sum of two odd numbers is :-

• $\rm{ \blue{58}}$

$\dag$ According to the Question :

$\longrightarrow \rm \: x + (x + 2) = 58 \\ \\ \\ \longrightarrow \rm \: 2x + 2 = 58 \\ \\ \\ \longrightarrow \rm \: 2x = 58 - 2 \\ \\ \\ \longrightarrow \rm \: 2x = 56 \\ \\ \\ \longrightarrow \rm \: x = \cancel\dfrac{56}{2} \\ \\ \\ \longrightarrow \boxed{ \rm{ \blue {x = 28}}}$

Therefore,

• First consecutive odd number is 28.

Now let us add two with the first consecutive odd number, to calculate the second consecutive odd number.

$\longrightarrow \rm \: x = 28 \\ \\ \\ \longrightarrow \rm \: x = 28 + 2 \\ \\ \\ \longrightarrow \rm \ \boxed{ \rm{ \pink {x = 30}}}$

$\therefore$ Hence, the two consecutive odd numbers are $\rm{ \blue{28}}$ and $\rm{ \blue{30}}$.