SOLUTION: One number is one-third of another number. The sum of the two numbers is 1 less than twice the larger number. Find the numbers.

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Question 237192: One number is one-third of another number. The sum of the two numbers is 1 less than twice the larger number. Find the numbers.
Answer by College Student(505) (Show Source):
You can put this solution on YOUR website!
Since we know one number is one third of another number, we can say:
x = one number
1/3x = the other number
Now, we also know their sum equals the larger # minus 1, so here's your equation:

Now solve for x to find the first number:

...multiply by 3 on both sides...
This is your first number.
Now calculate your second number by pluging this value in

This is your second number.
.
Proof:
Plug in these values in the original equation. Both sides of the eqn must equal to each other.
...by substitution...

Done!