Question

The average of 4 consecutive odd numbers is 50. What is the greatest number

Answer 1

let first odd number be x

second consecutive no is x+2 (because x+1 will give next even no. and x+2 gives the consecutive odd no)

third consecutive no is x+4

fourth consecutive odd no is x+6

avg is calculated by (sum of terms/no of terms)

average={x+(x+2)+(x+4)+(x+6)}/4=50(given)

on solving;(4x+12)/4=50

x+3=50(eliminating 4 from numerator and denominator on left side)

x=47 but largest no is x+4 therefore 51

Answer 2

let first odd number be x

second consecutive no is x+2 (because x+1 will give next even no. and x+2 gives the consecutive odd no)

third consecutive no is x+4

fourth consecutive odd no is x+6

avg is calculated by (sum of terms/no of terms)

average={x+(x+2)+(x+4)+(x+6)}/4=50(given)

on solving;(4x+12)/4=50

x+3=50(eliminating 4 from numerator and denominator on left side)

x=47 but largest no is x+4 therefore 51