Question

the sum of four consecutive odd number is 488 what are the numbers​

Answer 1

Answer:

119,121,123,125

Step-by-step explanation:

x+x+2+x+3+x+4=488

4x+12=488

4x=476

x=476/4=121

Answer 2

The required four consecutive numbers are 119, 121, 123, and 125.

Given:

The sum of four consecutive odd numbers is 488.

To Find:

The given numbers.

Solution:

Let us assume that 'x' is our first odd number. The next three consecutive odd numbers will occur at an interval of 2 from their preceding odd number.

Hence the four consecutive odd numbers at x, x+2, x+4, and x+6.

We are given that its sum equals 488.

⇒ x + (x+2) + (x+4) + (x+6) = 488

⇒ 4x + 12 = 488

⇒ 4x = 476

⇒ x = 476/4 = 119

Hence, the first odd number = 119.

The remaining numbers are x+2 = 121, x+4 = 123, and x+6 = 125.

∴ The required four consecutive numbers are 119, 121, 123, and 125.

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