Question

The average of 5 consecutive odd numbers is 17. Find the largest number of the five ​

Answer 1

Answer:

largest no. is 21

hope it helps you thanks

Step-by-step explanation:

let consecutive odd no.'s be

2x-1,2x-3,2x-5,2x-7 and2x-9

given Average =17

so (10x-25)/5=17

x=11 and largest no. is 2(11)-1=21

Answer 2

The largest number of the five is 21.

Step-by-step explanation:

Let the consecutive odd number be

2x+1,2x+3, 2x+5, 2x+7, 2x+9

Since, average of 5 consecutive odd numbers = 17

so, it becomes,

$\dfrac{2x+1+2x+3+2x+5+2x+7+2x+9}{5}=17\\\\10x+25=85\\\\10x=85-25\\\\10x=60\\\\x=\dfrac{60}{10}\\\\x=6$

Hence, the largest number of the five is 2x+9=$2\times 6+9=12+9=21$

# learn more:

Find the average of 12 number if first 8numbers average is 21 find the average of last 4 numbers

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