Q. The sum of 8 consecutive odd numbers is 656 and the average of 4 consecutive even numbers is 87 .find the largest even number and smallest odd number

• let 8 consecutive odd numbers are x,(x+2),(x+4),...,(x+14)
  x+(x+2)+(x+4)+(x+6)+...+(x+14)= 656
  => 8x+2(1+2+...+7)=656
  => 8x+56=656
  => x=75
  smallest odd number = x = 75
  
  let four consecutive even no.s be y,(y+2),(y+4),(y+6)
  so, y+(y+2)+(y+4)+(y+6)= 4* 87
  => 4y+12= 4*87
  => y+3=87
  => y=84
  largest even number = (y+6)= 90
  
• 11 years agoHelpfull: Yes(15) No(0)
• 90 75
  
  
  sum of 8 consecutive odd numbers is 656
  (n-7)+(n-5)+(n-3)+(n-1)+(n+1)+(n+3)+(n+5)+(n+7)=656
  8n=656 => n= 82
  smallest odd number n-7 = 75
  Average 4 cosecutive even numbers is 87
  ( (n-2)+n+(n+2)+(n+4) )/4=87 => (4n+4) /4 = 87 => n=86
  largest even number n+4 = 90
• 10 years agoHelpfull: Yes(2) No(0)
• 90 even
  75 odd
• 10 years agoHelpfull: Yes(0) No(0)
• y+y+2+y+4+y+6+y+8+y+10+y+12+y+14=656
  8Y+56=656
  8y=600
  y=75
  smallest odd no.= 75
  let 1st even no.= z
  a/c question,
  (z+z+2+z+4+z+6)/4=87
  4z+12=348
  4z=336
  z=84
  no>>84,86,88,90
  largest even no. = 90
• 10 years agoHelpfull: Yes(0) No(0)
• suppose the lowest odd and even number is x and y
  then 8x +72=656
  =>x=73
  and (x+x+2+x+4+x+6)/4=87
  =>x=(348-12)/4=84
  so largest even number and smallest odd numbers are 90 and 73 respectively
• 10 years agoHelpfull: Yes(0) No(1)
• 75 smallest odd no n lrgest even no= 90
• 10 years agoHelpfull: Yes(0) No(0)