Question

★Question : The sum of four consecutive even Integers is 60. Find the four consecutive even Integers. [ Hint : Suppose numbers be, x, x + 2, x + 4, x + 6 ]★

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Answer 1

Answer: 12, 14, 16, 18

Step by step explanation:

Given:

Sum of four consecutive even integers: 60

To find: those numbers.

Solution:

We're told to assume the numbers as: x, x + 2, x + 4, x + 6

Thus, Their sum:

x + (x + 2) + (x + 4) + (x + 6) = 60

4x + 12 = 60

4x = 48

x = 12

Thus, the value of x is 12.

Finding of other numbers:

x = 12

x + 2 = 12 + 2 = 14

x + 4 = 12 + 4 = 16

x + 6 = 12 + 6 = 18

Thus, We got the answers i.e 12, 14, 16, 18

Hence, The four consecutive even Integers are 12, 14, 16, 18.

Verification:

As given, sum of four consecutive even Integers is 60

12 + 14 + 16 + 18 = 60

60 = 60

Answer 2

AnswEr:

Even Consecutive Integers are 12, 14, 16 and 18.

ExplanaTion:

Let the consecutive Integers be x, x+2, x+4 and x + 6.

According to the question, their sum is 60.

$\therefore$ x + x + 2 + x + 4 + x + 6 = 60

: $\implies$ 4x + 12 = 60

: $\implies$ 4x = 60 - 12

: $\implies$ 4x = 48

: $\implies$ x = $\cancel{\dfrac{48}{4}}$

: $\implies$ x = 12

$\rule{200}2$

★ Consecutive Integers :

• x = 12

• x + 2 = 12 + 2 $\implies$ 14

• x + 4 = 12 + 4 $\implies$ 16

• x + 6 = 12 + 6 $\implies$ 18

$\therefore$ Even Consecutive Integers are 12, 14, 16 and 18.

$\rule{200}2$

VerifcaTion:

Put the value of x in translation of word equation:

: $\implies$ 12 + 12 + 2 + 12 + 4 + 12 + 6 = 60

: $\implies$ 60 = 60

Hence Verified!