Question

In two consecutive even numbers, 4/9 of the larger numbers is equal to half of the smaller number, find the numbers.​

Answer 1

Answer

We are given 2 consecutive even numbers.

Now let us see some consecutive even numbers

• 4,6
• 8,10
• 12,14

Now can we find any similarities among them

Yeah, : 6-4 = 10-8 = 14-12 = 2

(They have a difference of '2' )

Now if 'x' is an even number then its succeeding consecutive even number will be 'x+2'

Now as per the condition given,

$\implies \rm \frac { 4 } { 9 } (x+2) = \frac { x } { 2 }$

$\implies \rm \frac { 4x+8 } { 9 } = \frac { x } { 2 }$

Cross multiplying it

$\implies \rm 8x + 16 = 9x$

$\implies \boxed{\rm x = 16 }$

So,

$\implies \boxed{\rm x + 2 = 16 + 2 }$

$\implies \rm 18$

Hence the two consecutive even numbers are

࿇ 16

࿇ 18

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Answer 2

Answer:

Step-by-step explanation:

We are given 2 consecutive even numbers.

Now let us see some consecutive even numbers

4,6

8,10

12,14

Now can we find any similarities among them

Yeah, : 6-4 = 10-8 = 14-12 = 2

(They have a difference of '2' )

Now if 'x' is an even number then its succeeding consecutive even number will be 'x+2'

Now as per the condition given,

Cross multiplying it

So,

Hence the two consecutive even numbers are

࿇ 16

࿇ 18