Question

Q.6 The sum of five consecutive odd numbers is 220.
Find the greatest of the five numbers.​

Answer 1

Answer:

The greatest number is 48.

Step-by-step explanation:

Here, all odd consecutive five numbers adds up to 220.

Let's consider the number as x

As it is odd consecutive the other numbers will be :

→ (x + 2) ; (x + 4) ; (x + 6) ; (x + 8)

*[Even + Odd = Odd]*

→ Their sum is 220

A/q,

⇒ x + (x + 2) + (x + 4) + (x + 6) + (x + 8) = 220

⇒ x + x + 1 + x + 3 + x + 5 + x + 7 = 220

⇒ 5x + 20 = 220

⇒ 5x = 220 - 20

⇒ 5x = 200

⇒ x = 40

In among all the odd numbers the greatest number is :

→ (x + 8)

→ 40 + 8

→ 48

Therefore the greatest number is 48