Question

The sum of 4 consecutive odd numbers is 56. Find the greatest of the 4 numbers. Please show all steps and give a logical explenation.

Answer 1

Answer :

The greatest number is 17.

Step-by-step explanation :

Let the four consecutive numbers be x , x + 2, x + 4, and x + 6 respectively.

According to the question ;

x + x + 2 + x + 4 + x + 6 = 56

⇒ 4x + 12 = 56

⇒ 4x = 56 - 12

⇒ 4x = 44

⇒ x = 44 / 4

⇒ x = 11

Therefore, the four consecutive numbers are:

• x = 11

• x + 2 = 11 + 2 = 13

• x + 4 = 11 + 4 = 15

• x + 6 = 11 + 6 = 17

Hence, out of these numbers 17 is the greatest number.

Answer 2

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Solution:-

Let the 4 Consecutive Numbers be x, x+2 , x+4 and x+6.

A.T.Q.

x + x + 2 + x + 4 + x +6 = 56

=> 4x + 12 = 56

=> 4x = 56 - 12

=> 4x = 44

=> x = 11

Hence, The Numbers are :-

x = 11

x+2 = 13

x+4 = 15

x+6 = 17.

Hence, The Largest Number is 17.

EXPLANATION:-

I have taken "x" as a odd Number are with it other Numbers are even Numbers.

This is bcoz, we know that

ODD + ODD = EVEN

ODD + EVEN = ODD.

Here, we need the odd Numbers. Hence, we have taken Even Number with the Odd one.