Question

One number is twice a second number . Five more than second number is same as the first number less 5.find the numbers

Answer 1

Answer:

Whenever the problem says number, put a variable in its place. This will help simplify the question.

If you can tell when they are talking about the second number, make sure you use a different variable.

Example: x is five more than y. (this means x is the bigger number)

the sum of y and 2x is 49.

Now you have two equations with x and y.

x=5+y

y+2x=49

In your top equation, x is already solved for so you can plug 5+y in for x in the second equation.

Next solve for y in your new equation.

y+2(5+y)=49

Make sure you distribute the two (multiply it by the five and the y) before you add the two similar numbers (the ones with y) together. Then subtract on either side and divide.

Once you have the answer for y, you can plug it into the first equation and find x.

Those are your two answers.

If you need me to explain any more parts in greater detail, just let me know.