Question

There are 3 consecutive odd
even numbers
. The smallest even number is 9 more
than largest odd number. If the square of average of all the
3 given odd number is 507 less than the square of the
average of all the 3 given even number, what is the
smallest odd number.

a) 11
b) 13
c) 17
d) 19
e) 9​

Answer 1

Answer:

Let 3 consecutive odd numbers =x-2

x and x+2

and consecutive even numbers =y-2,y,y+2

So, y-2=9+x+2

y-x=13  …(i)

and

(x)2+507=(y)2

y2−x2=507

(x+y)(y−x)=507

(x+y)=50713⇒x+y=39 ...(ii)

Solving (i) and (ii) y=26 and x=13

so smallest odd number =x-2

=13-2=11

Answer 2

Answer:

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