SOLUTION: The sum of two numbers is 70. The second is 1 more than 2 times the first. What are the two numbers?

Question 102599: The sum of two numbers is 70. The second is 1 more than 2 times the first. What are the two numbers?
Answer by mjgulinello(10) (Show Source): You can put this solution on YOUR website!
Let M = the first number.
Let N = the second number.
We know the sum is 70, so

We also know the second number is 1 more than 2 times the first number, which we can express as

Now use substitution and plug the second equation into the first.

Combine like terms

Subtract 1 from each side

Divide each side by 3

Now we can plus this into the second equation.

The two numbers are 23 and 47.
We can check this by plugging the numbers back into the first equation.

Check.
That's all for this problem.

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