SOLUTION: There are three unknown numbers given. The second number is one more than the first, the third is the sum of the first and second plus one. If the sum of the first and third is 2
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Question 330330: There are three unknown numbers given. The second number is one more than the first, the third is the sum of the first and second plus one. If the sum of the first and third is 21 what is the second number? Found 2 solutions by solver91311, ankor@dixie-net.com:Answer by solver91311(24713) (Show Source):
Let represent the first number. Then must represent the second number. The first number plus the second number is and one more than that, the third number, is then .
The sum of the first number and the third number is:
Solve for and then add 1. Leave it in fractional form.
John
My calculator said it, I believe it, that settles it
You can put this solution on YOUR website! There are three unknown numbers given: x, y, z
:
The second number is one more than the first,
y = (x + 1)
;
the third is the sum of the first and second plus one.
z = x + y + 1
:
If the sum of the first and third is 21:
x + z = 21
z = (21 - x)
:
Using the 2nd equation z = x + y + 1, replace y and z, find x
21 - x = x + (x+1) + 1
21 - x = 2x + 2
21 - 2 = 2x + x
19 = 3x
x =
:
what is the second number?
Find y using y = x + 1
y = + 1
y = +
y = is the 2nd number
