Question

IF TOTAL OF FOUR CONSECUTIVE ODD NUMBERS IS 40 .. THEN FIND THE SMALLEST NUMBER​

Answer 1

7, 9, 11, 13

Explanation:

Let the first odd number be x.

The three other consecutive odd numbers with respect to x are:

x + 2, x + 4 and x + 6.

This means that:

➡ x + x + 2 + x + 4 + x + 6 = 40

Grouping the like terms:

➡ 4x + 12 = 40

Transposing the constant term to the RHS:

➡ 4x = 40 - 12

➡ 4x = 28

➡ x = 28/4 = 7

We can infer from this that:

➡ x = 7

➡ x + 2 = 9

➡ x + 4 = 11

➡ x + 6 = 13

The four consecutive odd numbers are 7, 9, 11 and 13.

Answer 2

Let the First Odd number be x.

then, other numbers be x + 2 , x + 4 , x + 6 .

➱ x + x + 2 + x + 4 + x + 6 = 40

➱ 4x + 12 = 40

➱ 4x = 40 - 12

➱ 4x = 28

➱ x = 28/7

➱ x = 7

Then, The Numbers are :

▶ x = 7. (Smallest Number)

▶ x + 2 = 7 + 2 = 9

▶ x + 4 = 7 + 4 = 11

▶ x + 6 = 7 + 6 = 13. (Greatest Number)

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The Numbers are :

7 , 9 , 11 , 13