Question

The sum of three conservative odd number is 57. Find the number​

Answer 1

Answer:

The three consecutive odd numbers are 17, 19 and 21.

Step-by-step explanation:

Given: Sum of three consecutive odd numbers is 57.

Let the first odd number be x.

⇒ Other two odd numbers will be (x+2) and (x+4).

⇒ x + x+2 + x+4 = 57

⇒ 3x + 6 = 57

⇒ 3x = 57-6 = 51

⇒ x = 51/3 = 17

⇒ The three consecutive odd numbers are 17, 19 and 21.

Answer 2

Given :-

• The sum of three conservative odd numbers is 57.

Aim :-

• To find the numbers

Conservative/Consecutive numbers :-

Consecutive/Conservative numbers are those which follow a certain pattern, a sequence. Consecutive numbers are those which succeeds the predecessor immediately.

Example :- 1,2,3...

• Consecutive even numbers are successive even numbers.

Example :- 2,4,6...

• Consecutive odd numbers are successive odd numbers.

Example :- 1,3,5....

Answer :-

Here, it's given that 3 conservative odd numbers add up to 57.

• Let the first number be x

• The second number will be :- x + 2

Example :- if 3 is the first number, then the second number which is 5 will be (3+2)

• The third number will be :- x + 4

Example :- Taking the same example as above, the third number will be (5+2) 7 which is (3+4) also.

First number + Second number + Third number = Sum

Substituting the values,

x + x+2 + x+4 = 57

Adding all the variables and constants,

→ 3x + 6 = 57

Transposing 6 to the RHS(Right hand side),

→ 3x = 57 - 6

→ 3x = 51

Transposing 3,

$\implies \sf{x = \dfrac{51}{3} }$

Reducing to the lowest terms,

→ x = 17

Now that we have the value of x, the other 2 numbers will be :-

• 19 (17+2)
• 21 (17+4)

Verification :-

By substituting the values of x, x+2 and x+4 as 17,19 and 21 respectively let us verify

17 + 19 + 21 = 57

LHS :-

→ 17 + 19 + 21

→ 57

RHS :-

→ 57

LHS = RHS

Hence verified.