The greater of two numbers is twice the lesser. if the greater is increased by 18, the result is 4 times the lesser. find the numbers

(Let x = greater number and y = lesser number)

For this, we will be doing a system of equations. Using the info from the question, our equations are:

So for this, I will be doing the substitution method. Since we know that x = 2y, this means we can replace x in the second equation with 2y as such:

From here we can solve for y. Firstly, subtract 2y on both sides of the equation:

And next, divide both sides by 2:

Now that we know that the value of y is 9, we can substitute it into either equation to solve for x as such:

In short, 9 is the lesser number and 18 is the greater number.

1. 3.4/4

2. 0.8/7

3. 0.5 x 3

4. 0.9 x 6

5. 10.8

6. 2.35

7. 0.567

8. 9.35

9. 0.02

10. 0.06

11. 0.16

12. 0.42

13. 0.63

14. 5.6

15. 8.1

16. 9.9

17. 0.28

18. 0.48

19. 0.27

20. 0.49

21. 0.45

22. 0.72

23. 0.9

24. 0.88

25. 0.75

26. 0.16

27. 0.328

28. 0.495

29. 0.72

30. 1.068

ratio is 2 : 9

the answer is three

13.5 : 3