Question

b=2a
80 12 years ago

Answer 1

If b=2a, then a*b should be equal to 2a*a which would equal 2a^2... Am I on the right track? This is as far as I can get

Answer 2

Yep you are on the right track

Answer 3

Now put that in the inequality and what do you have?

Answer 4

yay! Also, I know that the number must be an integer (specified in the problem) and it will be between 80 and 100

Answer 5

80<2a^2<100

Answer 6

divide all terms by 2?

Answer 7

So now you have to get a all alone in the middle so what do you do?

Answer 8

Yep there we go

Answer 9

so we have 40<a^2<50.., Now what do I do?

Answer 10

square root all terms?

Answer 11

You could do that but you dont have to. We know a is an integer and it's square is in between 40 and 50 so what square numbers are between 40 and 50?

Answer 12

41, 42, 43, 44, 45, 46, 47, 48, 49

Answer 13

so which one is it?

Answer 14

Which on is a perfect square?

Answer 15

49

Answer 16

7*7

Answer 17

And the square root of that is?

Answer 18

7

Answer 19

So a=7 and then you got it from there!

Answer 20

then b must equal 14?

Answer 21

@ssullivan61198

Answer 22

Yep thats right. Sorry that took so long I had to eat dinner