I'm thinking of an integer. Half of this integer is 3 more than one third of the next integer. what is the integer?
make up equation then solve any help would be great
2006-11-13 00:55:11 · 7 answers · asked by lisaloo22610 1 in Science & Mathematics ➔ Mathematics
integer is x
1/2 x = 3+ 1/3 * (x+1)
x / 2 = 3 + (x+1) / 3
3x / 6 = 18 / 6 + (2x + 2) / 6
3x = 18 + 2x + 2
3x = 2x + 20
x = 20
2006-11-13 01:33:19 · answer #1 · answered by C D 3 · 2⤊ 0⤋
Take the integer to be x, let's say.
half of the integer is x/2, which is more than the third of the next integer: (x+1) with 3.
x/2=3+(x+1)/3 |*6
3x=18+2*(x+1)
3x=18+2x+2
3x=20+2x
3x-2x=20
x=20
20 is the answer!!
2006-11-13 09:47:14 · answer #2 · answered by another_angel 2 · 0⤊ 0⤋
Let that integr be x, thus next integer is x+1.
Now, Half of this integer is 3 more than one third of the next integer, this give you
(x/2)+3 = (x+1)/3
=> x+6 = (2/3)*(x+1)
=> x+6 = (2/3)*(x)+(2/3)
=> x-(2/3)*(x) = (2/3)-6
=> (1/3)*(x) = -16/3
=> x = -16
2006-11-13 09:02:10 · answer #3 · answered by Paritosh Vasava 3 · 0⤊ 1⤋
let the integer be x
x/2=3+1/3(x+1)
taking lcm
3x=18+2x+2
x=20
2006-11-13 09:03:44 · answer #4 · answered by . 3 · 0⤊ 0⤋
n=integer
n/2-3=(n+1)/3 multiply by 6
3n-18=2n+2
n=20
check
20/2-3=21/3
10-3=7
2006-11-13 11:26:14 · answer #5 · answered by yupchagee 7 · 0⤊ 0⤋
Paritosh goes back to algebra-1. Ha! Ha!
2006-11-13 09:32:54 · answer #6 · answered by albert 5 · 0⤊ 0⤋
let it be x
then
(x/2)-3=(x+1)/3
take lcm
(x-6)/2=(x+1)/3
3x-18=2x+2
x=20
2006-11-13 08:59:35 · answer #7 · answered by Dupinder jeet kaur k 2 · 0⤊ 0⤋