One number is 12 more than another. The sum of the smaller number and twice the larger number is 39. Find the larger number.
2006-06-26 03:23:02 · 7 answers · asked by spontanious402000 1 in Science & Mathematics ➔ Mathematics
x=smaller number
y=larger number
Then,
y=x+12
and
x+2y=39
If you substitute the first equation in the second you`ll get
x+2(x+12)=39
x+2x+24=39
3x=15
x=5
Then just substitute the result in the first equation
y=x+12
y=5+12
y=17
The larger number is 17
2006-06-26 03:43:46 · answer #1 · answered by Carla 4 · 1⤊ 0⤋
Let x = smalller number
x + 12 = larger number
The sum of the smaller number and twice the larger number is 39, so
x + 2(x + 12) = 39
x + 2x + 24 = 39
3x = 39 - 24
3x = 15
x = 5
x + 12 = 17
Therefore, the larger number is 17.
^_^
2006-06-27 07:26:55 · answer #2 · answered by kevin! 5 · 0⤊ 0⤋
x = one number and y = second number
than x = 12 + y making y the smaller number so y = x - 12
and y + 2x = 39 acording to the second statement
than subbing y = x -12 for y we get x -12 + 2x = 39
which is 3x - 12 = 39 addind 12 to both sides we get 3x = 51
divide by 3 to both sides and get
x = 17 and than y = x -12 which is 5
so x = 17 and y = 5
2006-06-26 10:31:11 · answer #3 · answered by dhaval70 2 · 0⤊ 0⤋
17
2006-06-26 10:34:58 · answer #4 · answered by mrgreekgod 3 · 0⤊ 0⤋
17
2006-06-26 10:29:29 · answer #5 · answered by Yahoo! helper 1 · 0⤊ 0⤋
Smaller number: x
Bigger number: x + 12 (since it's 12 more than the first number)
x + 2(x+12)=39
x + 2x + 24 = 39
3x = 15
x = 15
Larger number:
5 + 12
=17
I noticed you have several other questions. I answered this one because I was bored, but do your homework and just keep practicing. :) Or else you will end up asking questions on Y!A forever.
2006-06-26 10:29:06 · answer #6 · answered by Ariel 2 · 0⤊ 0⤋
x = y + 12
2x + y = 39
2(y + 12) + y = 39
2y + 24 + y = 39
3y + 24 = 39
3y = 15
y = 5
x = y + 12
x = 5 + 12
x = 17
ANS : 17
2006-06-26 11:21:58 · answer #7 · answered by Sherman81 6 · 0⤊ 0⤋