Question

Four times the lesser of two consecutive even integers is twelve less than twice the greater number. What are the two integers?

Answer 1

Four times the lesser of two consecutive even integers is 12 less than twice the greater number. Find the integers.

..

let the numbers be x & x+2

4x=2(x+2)-12

4x=2x+4-12

 

4x-2x=-8

2x=-8

/2

x=-4

the numbers are -4 & -2

Answer 2

Two consecutive even integers come to be -4 and -2.

let us assume first even number = x

So, consecutive even number = x+2

What is an even number?

A number that is divisible by 2 is called an even number. The difference between two consecutive even numbers is two.

According to the question

Four times the lesser of two consecutive even integers is twelve less than twice the greater number

So, $4x = 2(x+2)-12$

$4x=2x+4-12$

$2x=-8$

$x=-4$

First even number = -4

So, consecutive even number = -4+2 = -2

Hence, Two consecutive even integers are -4 and -2.

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