Question

The sum of three consecutive even numbers is 74. Find the numbers

Answer 1

Correct Question :

The sum of two consecutive even numbers is 74. Find the numbers.

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Answer :

ㅤㅤㅤ36 and 38

Given :

• Sum of 2 consecutive even numbers = 74 .

To find :

• The numbers

Solution :

• Let one number = x
• Other number = x+2

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ㅤㅤㅤ$: \implies \sf { x + x + 2 = 74 }$

ㅤㅤㅤ$: \implies \sf { 2x + 2 = 74 }$

ㅤㅤㅤ$: \implies \sf { 2x = 74 - 2}$

ㅤㅤㅤ$: \implies \sf { x = 36 }$

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So,

• One number = x = 36
• Other number = x + 2 = 36 + 2 = 38.

Answer 2

Correct question:

The sum of two consecutive even numbers is 74. Find the numbers?

Answer :-

• 36 and 38.

Given :-

• Sum of two consecutive even numbers is 74.

To find :-

• The numbers.

Solution:

• Let one be x
• 2nd number = x + 2

$: \implies \sf x + x + 2 = 74$

$: \implies \sf2x + 2 = 74$

$: \implies \sf2x = 74 - 2$

$: \implies \sf2x = 72$

$: \implies \sf x = 36$

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Hence,

First number = x = 36.

Second number = x + 2 = 36 + 2 = 38.

Verification:

By replacing, 36 in place of x , We get :

x + x + 2 = 74

36 + 36 + 2 = 74

36 + 38 = 74

74 = 74

Hence, Verified.