Question

The average of consecutive odd numbers A,B,C and D is 44 .What is the product of A and D?

Answer 1

Step-by-step explanation:

Let the four odd consecutive numbers be

x,x+2,x+4,andx+6

Also, A=x,B=x+2,C=x+4andD=x+6

⇒4x+12=4×40

or, 4x=160−12=148

or, x=1484=37

∴ Numbers are A=37,B=39,C=41,D=43

∴ Product of B and D =39×43=1677

Alternate Solution :

∵ A,B,C,D are consecutive odd nos.

∴ Average of A,B,C,D is same as average of B,C=40

∴ B=39,C=41,D=43

∴ Product of BD =39×43=1677