One number is 20 times another number. The product of the two numbers is 180. Write an equation and use it to find all pairs of

Question

3 years ago

11

numbers that satisfy the

2 answers:

nadezda [96] · Answer 1 · 2022-03-09T17:00:40+03:00

8 0

Y = 20x

y • x = 180

180/x = y

180/x = 20x

180 = 20x^2

x^2 = 6

x = + or - 3

Therefore y must equal + or - 60.

timama [110] · Answer 2 · 2022-03-09T18:29:32+03:00

Answer: the Smaller number is 3

The larger number is 60

Step-by-step explanation:

Let x represent the smaller of the numbers.

Let y represent the larger number.

One number is 20 times another number. This means that

y = 20x

The product of the two numbers is 180. This means that

xy = 180- - - - - - - - - -1

Substituting y = 2x into equation 1, it becomes.

x × 20x = 180

20x² = 180

x² = 180/20 = 9

x = √9

x = 3

y = 20x = 20 × 3

y = 60