three times the larger of two numbers is equal to four times the smaller. the sum of the numbers is 21 find the numbers
Accepted Solution
A:
Answer:The larger number is 12 and the smaller number is 9Stepbystep 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