Consecutive numbers are the numbers in order ( like 32,33,34,35) . Find the four consecutive numbers that add up to 898

1 answer

Let the four consecutive numbers be represented as \( x, x+1, x+2, x+3 \).

To find their sum:

\[ x + (x + 1) + (x + 2) + (x + 3) = 898 \]

Simplifying the left side:

\[ 4x + 6 = 898 \]

Now, subtract 6 from both sides:

\[ 4x = 892 \]

Next, divide both sides by 4:

\[ x = 223 \]

Thus, the four consecutive numbers are:

\[ 223, 224, 225, 226 \]

Verifying the sum:

\[ 223 + 224 + 225 + 226 = 898 \]

Therefore, the four consecutive numbers that add up to 898 are 223, 224, 225, and 226.