Question

The sum of two consecutive even numbers is 50. Find the two numbers

25 and 25
40 and 10
24 and 26
16 and 34

Answer 1

First even =24

Second even =26

let 2x be the first even integer
let 2x+2 be the second even integer
2x+(2x+2)=50
4x=48
x=12

First even integer
2x=2(12)=24
Second even integer
2x+2=2(12)+2=26

Answer 2

First even = 24

Second even = 26

Explanation:

let x be the first even integer.

let 2x be the second even integer.

`x + 2x = 50`

`x + x = 50 - 2`

`2x =48`

`x = (48)/(2)`

`x = 24`

Therefore, The first even number is 24.

`second \: \: number= 50 - x \\ = 50-24 \\ = 26`

Therefore, The second even number is 26.

Hope it is helpful...