Question

Three time the smallest number of three consecutive even natural number is equal to two times greatest find the number

Answer 1

Answer:

8

Step-by-step explanation:

let the three natural even consecutive numbers be x, x+2, x+4

now, ATQ:

3x = 2(x+4)

3x = 2x + 8

3x - 2x = 8

x = 8

Answer 2

Answer:

The consecutive natural numbers are 8, 10, and 12.

Step-by-step explanation:

Let the consecutive numbers be x, (x + 2), (x + 4)

Because, The next even number will be after 2 numbers.

Now, according to the Question,

3 × Smallest number = 2 × Greatest number

Here,

Smallest number = x

Greatest number = x + 4

Thus,

3 × x = 2 × (x + 4)

3x = 2(x + 4)

3x = 2x + 8

3x - 2x = 8

x = 8

So,

The numbers are

x = 8

x + 2 = 10

x + 4 = 12

Hence,

The consecutive natural numbers are 8, 10, and 12.

Hope it helped and believing you understood it....All the best