is the answer 20 and 12?
2006-11-10 02:22:28 · 7 answers · asked by C F 1 in Science & Mathematics ➔ Mathematics
Both of the top 2 answers are correct depending on what you meant. If you meant the sum of 5 times EACH of the numbers then the first answer is correct. If you meant the smaller number added to 5 times the larger number then the second answer is correct.
2006-11-10 02:32:28 · answer #1 · answered by Anonymous · 0⤊ 0⤋
Large number = x Small number= y System of Equations x-y=8 5x+y=160 From first equation x=8+y Plug in into second equation 5(8+y)+y=160 40+5y+y=160 6y = 120 y=20 Therefore x=8+(20) (plug in y into first equation) x=28 Large Number: 28 Small Number: 20
2016-05-22 02:44:10 · answer #2 · answered by Anonymous · 0⤊ 0⤋
Yes 20 and 12
20 - 12 = 8 correct
5 x 20 = 100
5 x 12 = 60
100 + 60 = 160 correct
But there is a possible misundrestanding of the English.
Does 'five times the larger number and the smaller number mean 5 times the larger number plus 5 times the smaller number.
That ambiguity is what causes the problem.
If it is written as a formula, is it
5(x+y)
or is it 5x + y
If the latter, then the answer is 20 and 28
2006-11-10 02:37:20 · answer #3 · answered by Anonymous · 1⤊ 0⤋
ok, you have two equations:
first of all, let x = bigger number and y = smaller number
x - y = 8
5x + y = 160
now, you have to rearrange the first equation to get either x or y by itself then substitute this into the second equation and simplify.
so, x - y = 8
x = 8 + y
putting x = 8 + y into the equation: 5x + y = 160
5x + y = 160
5(8+y) + y = 160
40 + 5y + y = 160
40 + 6y = 160
6y = 120
y = 20
now, we know from before that x = 8 + y
therefore, x = 8 + 20
x = 28
so your answer is: x = 28, y = 20
2006-11-10 02:37:56 · answer #4 · answered by thugster17 2 · 0⤊ 0⤋
Assuming I read this right, we get the following:
x - y = 8
5x + y = 160
If we add the two equations (from top to bottom) we get:
(x + 5x) + (-y + y) = (8 + 160)
6x = 168
x = 28
y = x - 8 = 20
So let's check:
x - y = 8, 28 - 20 = 8 CHECK!
5x + y = 160, 5*28 + 20 = 140 + 20 = 160 CHECK!
Hope this helps :)
2006-11-10 02:24:48 · answer #5 · answered by disposable_hero_too 6 · 0⤊ 1⤋
If you mean
x-y=8
5x+y=160
add equations
6x=168
x=28
plug into first formula
28-y=8
y=8
OR if you mean
x-y=8
5x+5y=160
then you are right 12 and 20 :-) sorry
2006-11-10 02:26:08 · answer #6 · answered by tor 4 · 0⤊ 0⤋
x-y=8
y=x-8
5x + y = 160
5x+x-8=160
6x=168
x=28
y=x-8
y=28-8
y=20
the answer is 28 and 20
2006-11-10 02:30:01 · answer #7 · answered by ? 3 · 0⤊ 0⤋