Question

The average of 5 consecutive even numbers a, b, c, d and e is 34. what is the product of b and d?

Answer 1

Let :

a=2x

b=4x

c=6x

d=8x

e=10x

Given( 2x + 4x + 6x + 8x + 10x)/5=34

》30x/5=34

》6x=34

》x=34/6

》x=5.6

b×d=>(4x)(8x)

=22.4×44.8

=1003.52

=========

Answer 2

Answer:

The product of $b$ and $d$ is 1152.

Step-by-step explanation:

Given:

average of $5$ consecutive even numbers $a, b, c, d$ and $e$ is $34.$

To find:

the product of $b$ and $d$.

Step 1

Let $A = x$,

According to the question,

$A + B + C + D + E = x + (x + 2) + (x + 4) + (x + 6) + (x + 8)$

Simplify

$x+(x+2)+(x+4)+(x+6)+(x+8)$ $=x+x+2+x+4+x+6+x+8$

Step 2

Group like terms

$=x+x+x+x+x+2+4+6+8$

Add similar elements:

$x+x+x+x+x=5 x$

$=5 x+2+4+6+8$

Simplifying the above equation, we get

⇒ $5x + 20 = 34 * 5$

⇒ $B * D = 32 * 36 = 1152$

Thus, we get

the product of $b$ and $d$ is 1152.

#SPJ2