The average of the 9 consecutive positive integers is 63. The product of the largest and smallest integers is

Options

A. 3935
B. 3835
C. 3635
D. 3835

Answer

B

Explanation

Let positive consecutive integers are
`x,x+1,x+2…,x+8`.
Average `=(x+(x+1)+….+(x+8))/(9)=63`
`implies (9x+36)/(9)=63`
`implies x+4=63impliesx=59`
Largest number, `x+8=59+8=67`
Product of largest and smallest `=59xx67=3953`