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5 votes
The sum of five consecutive even numbers is 100 what is the first number in this sequence

User Rabban
by
7.9k points

2 Answers

3 votes
X will be the smallest even number. Let's make equations.
x= smallest number.
x+2= second smallest number
x+4= third smallest number
x+6= fourth smallest number
x+8= biggest.
Let's add them all together.
x+x+2+x+4+x+6+x+8=100; let's add like terms.
5x+20=100; let's subtract 20.
5x=80; let's divide.
80÷5=16=x
So, if 16 is the smallest number, we know the rest. Let's add them to make sure.
16+18+20+22+24
34+42+24
76+24
100

So, the numbers are: 16, 18, 20, 22, and 24.
User Mughees
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7.8k points
3 votes
x + (x+2) + (x+4) + (x+6) + (x+8) = 100
5x + 20 = 100
5x = 80
x = 16

the first term is 16
User Myrddin Emrys
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7.5k points