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3 years ago

The sum of 4 consecutive even numbers is 36

Mathematics

1 answer:

AVprozaik [17]3 years ago

4 0

Answer:

first number=6

second number=8

third number= 10

fourth number= 12

Step-by-step explanation:

first number=a

second number=b

third number= c

fourth number= d

we have the following equations

a=2n equation 1

b=2n+2 equation 2

c=2n+4 equation 3

d=2n+6 equation 4

a+b+c+d=36 equation 5

using equations 1, 2, 3 and 4 in equation 5 we have

2n+2n+2+2n+4+2n+6=36

8n+12=36

8n=36-12

8n=24

n=24/8=3

so we have

a=2*3=6 =first number

b=(2*3)+2=8= second number

c=(2*3)+4=10=third number

d=(2*3)+6=12=fourth number

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