Question

The sum of three consecutive number is 46 . Find the number

Answer 1

Answer:

43/3, 46/3, 49/3

Step-by-step explanation:

Let the three numbers be

• x
• x + 1
• x + 2

Given, The sum of three consecutive number is 46

⇒ x + ( x + 1) + (x + 2) = 46

⇒ 3x + 3 = 46

⇒ 3x = 46 - 3

⇒ 3x = 43

⇒ x = 43/3

This results in a rational number. If we have to go with this only, then the numbers are 43/3, 46/3, 49/3

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Furthermore, If question was The sum of four consecutive number is 46 . Find the numbers

Let the four numbers be

• x
• x + 1
• x + 2
• x + 3

Given, The sum of four consecutive number is 46

⇒ x + ( x + 1) + (x + 2) + (x +3) = 46

⇒ 4x + 6= 46

⇒ 4x = 46 - 6

⇒ 4x = 40

⇒ x = 10

The numbers are 10,11, 12, 13

Answer 2

Let the three consecutive number be X, X+1 and X + 2.

Sum of these three consecutive number is 46.

X + X + 1 + X + 2 = 46

3x + 3 = 46

3x = 43

X = 43/3

X + 1 = 43/3 + 1 = 46/3

X + 2 = 43/3 + 2 = 49/3

So, the three consecutive number are 43/3, 46/3 and 49/3.