SOLUTION: Please help me solve this word problem: The sum of two numbers is 41. One number is one less than twice the other. Find the larger of the two numbers. I would also, if you don't m

Question 764032: Please help me solve this word problem: The sum of two numbers is 41. One number is one less than twice the other. Find the larger of the two numbers. I would also, if you don't mind, if you can show me step by step on how you get the answer. Thank you so much.
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The sum of two numbers is 41.
One number is one less than twice the other.
Find the larger of the two numbers.
------
Equations:
a + b = 41
a = 2b -1
-------------------
Substitute for "a" and solve for "b"
2b-1 + b = 41
----
3b = 42
b = 14
-----
Solve for "a":
a = 2b-1
a = 2*14-1 = 27
-----------------------------
Cheers,
Stan H.
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Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let the numbers be
The larger number is
given:
(1)
(2)
----------------
Substitute (2) into (1)
(1)
(1)
(1)
and, since
(2)
(2)
(2)
The larger number is 27

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