SOLUTION: The fifth number plus the third number equals fourteen.
The fourth number is one more than the second number.
The first number is one less than twice the second numb
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Question 144057: The fifth number plus the third number equals fourteen.
The fourth number is one more than the second number.
The first number is one less than twice the second number.
The second number plus the third number equals ten.
The sum of all five numbers is 30.
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
let the number be abcde
d=b+1
a=2b-1
so b<=5
b+c=10
so c=10-b
a+d+e=20
so 2b-1+b+1+e=20
3b+e=20
e=20-3b
so e=5 or 8 because b<=5
If e=5 then b=5
If e=8 then b=4
a+b+c+d+e=30
Try e=5: 2b-1+b+10-b+b+1+5=30
3b+15=30
3b=15
b=3 wrong
.
Try e=8: 2b-1+b+10-b+b+1+8=30
3b+18=30
3b=12
b=4 OK so far.
a=7
c=6
d=5
7+4+6+5+8=30
7+5+8=20
74658 is the number
.
Ed
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