the sum of 3 consecutive odd numbers is 231. Find the numbers
Answers
Answer:
The consecutive 3 odd numbers are
75, 77, 79
Step-by-step explanation:
Let,
The consecutive 3 odd numbers :
- x
- x + 2
- x + 4
★ According to the question :
The sum of 3 consecutive odd numbers is 231
So,
⇒ (x) + (x + 2) + (x + 4) = 231
⇒ 3x + 6 = 231
⇒ 3x = 231 - 6
⇒ 3x = 225
⇒ x = 225 / 3
⇒ x = 75
★ x + 2 :
⇒ 75 +2
⇒ 77
★ x + 4 :
⇒ 75 + 4
⇒ 79
Therefore,
The consecutive 3 odd numbers are
75, 77, 79
Given :
- The sum of 3 consecutive odd numbers is 231
To find :
- The numbers
According to the question,
Let the consecutive odd numbers be
- x
- x + 2
- x + 4
And their sum is 231
So,
The equation formed :
→ x + x + 2 + x + 4 = 231
→ 3x + 6 = 231
→ 3x = 231 - 6
→ 3x = 225
→ x = 225 ÷ 3
.°. x = 75
_____________...
Value of x :
→ x
→ 75
_____________....
Value of x + 2 :
→ x + 2
→ 75 + 2
→ 77
_____________....
Value of x + 4
→ x + 4
→ 75 + 4
→ 79
So,the numbers are 75,77 and 79...