Question

the sum of four consecutive odd integers is 264. what are the numbers?​

Answer 1

Answer:

this is the answer i hope it really helped you

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Answer 2

The numbers are 63,65,67 and 69

GIVEN:- sum of four consecutive odd integers is 264

TO FIND:- The numbers

SOLUTION:-

• Consecutive odd integers are odd numbers that follow each other and they differ by 2.

• Let x be the first odd integer, then x + 2, x + 4 and x + 6 are the other three consecutive odd integers.

According to the sum,

The sum of four consecutive odd integers is 264

$x + (x + 2) + (x + 4) + (x + 6) = 264$

$x + x + 2 + x + 4 + x + 6 = 264\\ 4x + 12 = 264 \\ 4x = 264 - 12 \\ 4x = 252 \\ x = \frac{252}{4} \\ x = 63$

First odd integer = x = 63

Other consecutive odd integers

• x+2=63+2=65
• x+4=63+4=67
• x+6=63+6=69

Hence, the numbers are 63,65,67 and 69

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