Question

Find three consecutive odd numbers whose sum is 1587

Answer 1

Answer:

The numbers are 527, 529 and 531.

Step-by-step explanation:

Let,

• I st number = x
• II nd number = x + 2
• III rd number = x + 4

Sum of three consecutive odd numbers = 1587

★ According to the Question :

⇒ (x) + (x + 2) + (x + 4) = 1587

⇒ 3x + 4 + 2 = 1587

⇒ 3x + 6 = 1587

⇒ 3x = 1587 - 6

⇒ 3x = 1581

⇒ x = 1581 / 3

⇒ x = 527

I st number = 527

___________________________

• II nd number = x + 2

⇒ 527 + 2

⇒ 529

II nd number = 529

___________________________

• III rd number = x + 4

⇒ 527 + 4

⇒ 531

III rd number = 531

Therefore, the numbers are 527, 529 and 531.

Answer 2

$\mathfrak\red{ANSWER:-}</p><p>$

Let the three consecutive odd number are

(x) + (x + 2) + (x + 4) = 1587

$\huge\red{Sum = 1587}$

(x) + (x + 2) + (x + 4) = 1587

3x + 6 = 1587

3x = 1587 - 6

3x = 1581

x = 1581 /3

$\small\pink{1st \: number: x = 527}$

2nd number:

(x + 2) = (527 + 2) = 529

$\small\pink{\: 2nd \: number: x = 529}$

3rd number:

(x + 4) = (527 + 4) = 531

$\small\pink{3 rd \: number: x = 531}$

Hence, the no. are 527,529 and 531.