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9 votes
9 votes
The sum of four consecutive
integers is 94. Find the integers.

User Hagope
by
2.7k points

1 Answer

21 votes
21 votes

Answer:

22, 23, 24, and 25.

Explanation:

The sum of four consecutive integers is 94, and we want to determine the integers.

Let x be the first integer. Since they are consecutive, the second will be (x + 1), the third (x + 2), and the fourth (x + 3).

They sum to 94. Hence:


\displaystyle x + (x+1) + (x+2) + (x+3) = 94

Solve for x. Combine like terms:


4x + 6= 94

Subtract:


\displaystyle 4x = 88

And divide. Hence:


\displaystyle x = 22

Therefore, the first term is 22.

Then the four integers are 22, 23, 24, and 25.

User Glr
by
3.1k points