Question

Sum of two consecutive odd numbers is 100 what are the numbers let the first no be x thebthe second number

Answer 1

Given : Sum of two consecutive odd numbers is 100.

To Find : What are the numbers?

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❍ Let us assume, that the first and second number is 'x' and 'x + 2' respectively.

$\bigstar \: \mathfrak{\underline{According~to~the~question,}}$

➺ $\sf{x + x + 2 = 100}$

➺ $\sf{2x + 2 = 100}$

➺ $\sf{2x = 100 - 2}$

➺ $\sf{x = \cancel\dfrac{98}{2} }$

➺ $\purple{\bf{x = 49}}$

Therefore, the numbers are :

➲ First number ⇝ x ⇝ 49

➲ Second number ⇝ x + 2 ⇝ 51

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Verification :

➟ $\tt{x + x + 2 = 100}$

❐ Substituting x = 49, we get

➟ $\sf{49 + 49 + 2 = 100}$

➟ $\sf{49 + 51 = 100}$

➟ $\sf{100 = 100}$

➟ $\red{\bf{LHS = RHS}}$

Hence, verified. ✓

Answer 2

Let the first number be x

The second number is x + 2

Sum of the numbers = 100

According to the Question:-

⟶x+x+2=100

⟶2x=100−2

⟶2x=98

$\sf\longrightarrow \: x = \cancel\dfrac { 98 } { 2}$

⟶x=49

Hence ,

• First number is 49
• First number is 49Second number is 51