Question

the sum of 5 consecutive odd number is equal to 175. what is the sum of the second largest number and the square of the smaller number amongst them together?​

Answer 1

ANSWER :-

We have to find the the sum of second largest number and the square of the smaller number whose sum of five consecutive odd number is 175

Let the first odd number be 'x'

& the other next will be 'x+2'

Given,

Sum of five consecutive odd numbers = 175

From given, we can write that in the form of this expression ⇒

⇒ x + x + 2 + x + 4 + x + 6 + x + 8 = 175

⇒ 5x + 20 = 175

⇒ x = (175 - 20) ÷ 5

⇒ x = 145 ÷ 5

⇒ x = 31

Hence,

The sum of the second largest number and square of smallest one -

⇒ (31+ 6) + (31)^2

⇒ 37 + 961 = 998

Answer 2

Step-by-step explanation:

odd number is represented as 2n+1

2n+1+2n+3+2n+5+2n+7+2n+9=175

10n+25=175

10n=150

so,n=15

second largest number=2n+7=37

square of smaller number=(2n+1)^2=31^2=961

sum=961+37=998

hope it helps you my friend