Question

A,b,c and d are four consecutive odd numbers and their average is 42. What is the product of b and d?

Answer 1

Answer:

The product of b and d is 1845

Step-by-step explanation:

Let the four consecutive odd numbers be denoted as:

x - 2, x, x + 2, x + 4

In the given notation, we have

a = x - 2; b = x; c = x + 2; d = x + 4 .............(i)

ATQ, average of the four numbers = 42

=> [(x - 2) + x + (x + 2) + (x + 4)]/4 = 42

=> (x - 2) + x + (x + 2) + (x + 4) = 168

=> 4x + 4 = 168

=> 4x = 162

=> x = 41

Using (i), we get:

a = 39; b = 41; c = 43; d = 45

Hence,

product of b and d = b*d = 41*45 = 1845