Question

The sum of five consecutive odd numbers is 6785 . What is the difference between the greatest and the smallest of these numbers? (1)8 (2)10 (3)6 (4)9

Answer 1

An odd number can be expressed as "2n + 1", so:

(2n + 1) + (2n + 3) + (2n + 5) + (2n + 7) + (2n + 9) = 6785

We subtract the smallest number to the largest number

(2n + 9) - (2n + 1) = 8

Therefore, the answer is (a) 8.

Answer 2

Let the first no. be x
therefore
other nos. will be
x+2 , x+4, x+6 , x+8 and x.
there sum will be 6785 therfore
x+2 +x+4+ x+6 +x+8 + x = 6785
5x + 20 = 6785
5x = 6,765.
x= 6765÷5
x= 1,353.
the numbers are
1353, 1355, 1357, 1,359, 1,361
therefore difference between largest and smallest will be:8
therefore ans is option a
thanks
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