The sum of two consecutive even number is 118 . find the number
Answers
Answer:
50+16=118
Step-by-step explanation:
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Answer:
Step-by-step explanation:
58 + 60 = 118 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 1182 x + 2 x + 2 = 118 4 x = 116 2 x = 58
we did not need to solve for
x
The consecutive even integers are
58
and
60
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We could also have just divided by 2 and then added 1 and subtracted 1.
118
÷
2
=
59
59
−
1
=
58
and
59
+
1
=
60