198,982 views
38 votes
38 votes
The sum of four consecutive integers is equal to 462. Find the integersThe first (smallest) integer =The second integer =The third integer = The fourth (largest) integer =

User Agus Camacho
by
2.6k points

1 Answer

18 votes
18 votes
Answer:

The first (smallest) integer =1

The second integer =

The third integer =

The fourth (largest) integer =

Explanations:

Let the smallest integer be represented as n

The second integer = n + 1

The third integer = n + 2

The fourth integer = n + 3

The sum of the four consecutive integers equal 462

This can be written mathematically as:

n + (n + 1) + (n + 2) + (n + 3) = 462

4n + 6 = 462

4n = 462 - 6

4n = 456

n = 456 / 4

n = 114

The second number = n + 1

The second number = 114 + 1

The second number = 115

The third number = n + 2

The third number = 114 + 2

The third number = 116

The fourth number = n + 3

The fourth number = 114 + 3

The fourth number = 117

User Swaathi Kakarla
by
3.3k points