The difference between two numbers is 16. Three times the larger number is seven times the smaller. What are the numbers?

12 and 28

Step-by-step explanation:

Represent the numbers using x and y.  Then y - x = 16.  (y is the larger one.)

Then 3y = 7x, and y = (7/3)x.

Substituting (7/3)x for y in y - x = 16, we get:

(7/3)x - x = 16.

Eliminate the fraction by multiplying all three terms by 3:

7x - 3x = 48, or 4x = 48, yielding x = 12.  Then y = (7/3)(12) = 28.

where r the answers

step-by-step explanation:

n=9

step-by-step explanation:

7 times a number = 7n

decreased by 13 = 7n-13

same as is =

5 times the number = 5n

increased by 5 = 5n+5

7n-13 = 5n+5

2n=18

n=9