three times the larger of two numbers is equal to four times the smaller. the sum of the numbers is 21 find the numbers

Answer:The larger number is 12 and the smaller number is 9Step-by-step explanation:Let us first deal with the first sentence of this word problem. Let's call the larger number  L and the smaller number  S . We know from the first sentence: 3 L  = 4 S We know from the second sentence: L+S  = 21 Let's solve this second equation for   L- L+S  = 21 - LS  = 21 - LNow we can substitute  21 - L for S  in the first equation and solve for  L :3L = 4 (21 - L)3L + 4L = 84 - 4L + 4L7L = 847L/7 = 84/7L = 12Next we can substitute 12 for L in the solution to the second equation:s = 21 - 12s = 9