Question

The sum of four consecutive integers is 1478 Work out the greatest of the 4 numbers. ​

Answer 1

371

Explanation:

An integer is a whole number without any fractional or decimal parts, that can be positive, negative, or zero.

Consecutive integers are a sequence of integers where each number is incrementally one unit greater than the previous number.

Let x be the first integer.

Therefore:

• x is the first integer.
• (x + 1) is the second integer.
• (x + 2) is the third integer.
• (x + 3) is the fourth integer.

If the sum of four consecutive integers is 1478 then:

`x + (x + 1) + (x + 2) + (x + 3) = 1478`

Collect like terms:

`x + x + x + x + 1 + 2 + 3 = 1478`

Combine like terms:

`4x + 6 = 1478`

Subtract 6 from both sides:

`4x + 6 - 6 = 1478 - 6`

`4x = 1472`

Divide both sides by 4:

`4x / 4 = 1472 / 4`

`x = 368`

Therefore, the first integer is 368.

As each consecutive integer is one more than the previous integer, the four consecutive integers are 368, 369, 370 and 371.

Therefore, the greatest of the four numbers is 371.

Answer 2

371

Explanation:

Let the four consecutive integers be x, x + 1, x + 2, and x + 3.

The sum of these integers is:

x + (x + 1) + (x + 2) + (x + 3) = 1478

4x + 6 = 1478

4x = 1472

x = 368

The greatest of the four numbers is x + 3 = 368 + 3 = 371.

Therefore, the greatest of the four numbers is 371.