Answer:
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
