The sum of two numbers is 21. The larger number is 6 less than twice the smaller number. Work out the problem to find the two numbers.

12 and 9

Step-by-step explanation:

let x be the larger number and y be the smaller number. we can set up these formulas:

x+y = 21

x = 2y - 6

we can replace x in the first equation with 2y - 6:

2y - 6 + y = 21

simplify: 3y - 6 = 21

add 6 to each side: 3y = 27

divide each side by 3: y = 9

now we can replace y in the first equation with 9:

x + 9 = 21

subtract 9 from both sides: x = 12