Question

the sum of four consecutive even number is 100, find the number

Answer 1

Let the smallest no. be x
then,
the four numbers are x, x+2, x+4 and x+6.
now,
x + x+2 + x+4+ x+6 = 100
=> 4x + 12 = 100
=> 4x =88
=> x = 22

hence the four numbers are 22, 24, 26 and 28
.

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Answer 2

Concept

All numbers that a divisible by 2 are referred to as even numbers.

Given

The sum of some four consecutive even numbers is 100

Find

We need to find the numbers

Solution

Let the smallest number be x

then,

the four numbers will be-

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

we know that the sum of all these numbers is 100

Therefore,

x + x+2 + x+4+ x+6 = 100

⇒ 4x + 12 = 100

⇒ 4x = 88

⇒ x = 22

Now,

x + 2 = 22 + 2 = 24

x + 4 = 22 + 4 = 26

x + 6 = 22 + 6 = 28

Thus, the four numbers are 22, 24, 26 and 28

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