The sum of two numbers is 209. If one number is 7 less than two times the other. Then find the two number
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Answer:
First number is 137, the second number is 72.
Step-by-step explanation:
Let us assume that the numbers are a and b.
That would give us the equation a+b=209
If one of the numbers, let us take a, is 7 less than two times the other (b in this case) we can rewrite is as a=2b-7.
Now we substitute a with 2b-7 and that gives us;
2b-7+b=209
We sum up the like terms and we get 3b-7=209.
We work further;
3b=209+7
3b=216
b=216/3
b=72
So now we know the b, we can calculate a with the original givens which gives us;
a+72=209
a=137.
I hope it was clear.
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