## sm101 2 years ago Suppose that the sum of two whole numbers is 8, and the sum of their reciprocals is 2/3. Find the numbers.

1. zhiyuan3yu5

2 and 6

2. sm101

thank you!! can you help me with 2 other questions just li ke this?

3. zhiyuan3yu5

if i can

4. sm101

ok

5. sm101

Suppose that the sum of two numbers is 16, and the sum of their squares is 178. Find the numbers.

6. zhiyuan3yu5

13 and 3

7. sm101

it was right! ok, and the last question is just like this - Find two numbers such that their sum is 12 and their product is 26.

8. zhiyuan3yu5

you sure it's 26?

9. sm101

Yep. It says it exactly.

10. sm101

it might not be a whole number, if that helps. It might not be, but I'm not sure.

11. zhiyuan3yu5

it's definitely not a whole number

12. zhiyuan3yu5

wait i got it hold on

13. sm101

ok

14. zhiyuan3yu5

6+sqrt(10) is one of the numbers, the other one you just do 12-(6+sqrt(10))

15. sm101

it said it was wrong :(

16. sm101

which number is smaller and which is larger, btw?

17. zhiyuan3yu5

hmm hold on

18. sm101

ok

19. zhiyuan3yu5

the numbers i gave up add up to 12 and multiply to 26...

20. sm101

hmm...

21. sm101

which number is smaller and which number is bigger again?

22. zhiyuan3yu5

6+sqrt(10) is bigger

23. sm101

ok, that it now says that 6+sqrt(10) is correct, but the other one is still wrong

24. sm101

the only clue I have is that the other answer is a smaller value

25. zhiyuan3yu5

you just do 12-(6+sqrt(10)). which is 6-sqrt(10)

26. sm101

oh ok. I originally put in the whole 12 - 6

27. sm101

thank you so much!! you helped me majorly.

28. sm101

I already gave you best answer + became a fan. would you want anything else?

29. zhiyuan3yu5

30. zhiyuan3yu5
31. sm101

Well.. i don't know anything about physics..

32. zhiyuan3yu5

its ok i was kidding

33. sm101

lmfao

34. sm101

I have other questions I was going to post in another post.. I definitely understand if you don't want to help anymore, but if you aren't doing anything or won't mind, can I ask more questions?

35. zhiyuan3yu5

i'll see what i can do

36. sm101

thank you so much.

37. sm101

The length of a rectangular floor is 3 meters less than three times its width. If a diagonal of the rectangle is 13 meters, find the length and width of the floor.

38. zhiyuan3yu5

lenth:12. width:5

39. sm101

Yes! It was right :)

40. sm101

I have 1 just like this, and then other problems that are similar but not the same general type of problem

41. sm101

The perimeter of a rectangle is 44 inches, and its area is 120 square inches. Find the length and width of the rectangle.

42. sm101

are you still here?

43. zhiyuan3yu5

length is 12 width is 10

44. sm101

It was right! I have 4 more problems, and its perfectly fine if you dont want to help with all of them. I'm already grateful.

45. sm101

Set up an equation and solve the problem. Larry's time to travel 357 miles is 3 hours more than Terrell's time to travel 212 miles. Terrell drove 2 miles per hour faster than Larry. How fast did each one travel?

46. sm101

are you still here?