The sum of four consecutive numbers is 34. What are these numbers? Class 8

The sum of four consecutive numbers is 34. What are these numbers? Class 8

Question 1.

The sum of four consecutive numbers is 34. What are these numbers? Class 8

Solution:

Let the numbers be x, x + 1, x + 2 and x + 3.

So, x + (x + 1) + (x + 2) + (x + 3) = 34.

i. e., 4x + 6 = 34 or 4x = 34 - 6 = 28 or x = [latex]\frac{28}{4}[/latex] = 7

Thus, the numbers are 7, 8, 9 and 10.

Question 2.

Suppose p is the greatest of five consecutive numbers. Describe the other four numbers in terms of p. Class 8

Solution:

The numbers are p, p — 1, p — 2, p — 3 and p — 4, which in the increasing order are p — 4,p — 3, p — 2, p — 1 and p.