Question

The sum of two consecutive even integers is 118. How do you find the integers?

Answer 1

Answer:Answer:

58

+

60

=

118

Step-by-step explanation:   Even integers are always separated by 2. So if we have one even number, we can find the next by adding (or subtracting) two.So,

if  x  is even,  x + 2  is the next even number and  

x − 2

is the previous even number.

But how can we be sure that  x

is even?

Any number multiplied by 2 is definitely even, so it is better to call the first even number,  2 x

.Let the first even integer be  2 x

The next even integer will be  

2 x +2

Their sum is  

118

2x + 2x +2 =118

4x=116

2x =58

we find x

We could also have just divided by 2 and then added 1 and subtracted 1.

118/2 =59

59-1=58 & 59+1 =60