Question

1). Find three consecutive odd numbers whose sum is 93.

2.) Find three consecutive even numbers whose sum is 246.​

Answer 1

Question 1).

• Find three consecutive odd numbers whose sum is 93.

Given :

• Sum of three consecutive odd numbers is 93.

To Find :

• Find three consecutive odd numbers ?

Solution :

• Let us assume :

➣ Three consecutive odd numbers be (2x + 1), (2x + 3) and (2x + 5).

According to the question :

➣ (2x + 1) + (2x + 3) + (2x + 5) = 93

➣ 2x + 1 + 2x + 3 + 2x + 5 = 93

➣ 6x + 9 = 93

➣ 6x = 93 - 9

➣ 6x = 84

➣ 3(2x) = 84

➣ 2x = 84/3

➣ 2x = 28

Three consecutive odd numbers :

• 2x + 1 = 28 + 1 = 29
• 2x + 3 = 28 + 3 = 31
• 2x + 5 = 28 + 5 = 33

Hence,

• Three consecutive odd numbers are 29, 31 and 33.

Question 2).

• 2.) Find three consecutive even numbers whose sum is 246.

Given :

• Sum of three consecutive even numbers is 246.

To Find :

• Find three consecutive even numbers ?

Solution :

• Let us assume :

➣ Three consecutive even numbers be 2x, (2x + 2) and (2x + 4).

According to the question :

➣ 2x + (2x + 2) + (2x + 4) = 246

➣ 2x + 2x + 2 + 2x + 4 = 246

➣ 6x + 6 = 246

➣ 6x = 246 - 6

➣ 6x = 240

➣ 3(2x) = 240

➣ 2x = 240/3

➣ 2x = 80

Three consecutive even numbers :

• 2x = 80
• 2x + 2 = 80 + 2 = 82
• 2x + 4 = 80 + 4 = 84

Hence,

• Three consecutive even numbers are 80, 82 and 84.