If one-half of one integer is subtracted from three-fifths of the next consecutive integer, the difference is 3. What are two integers?
2007-12-03 14:15:12 · 5 answers · asked by God Bless America!~ 4 in Science & Mathematics ➔ Mathematics
3/5(x+1)-1/2x=3
3/5x+3/5-1/2x=3
3/5x-1/2x=2 3/5
use 10 as the common denominator
6x-5x=24
x=24
x+1=25
2007-12-03 16:39:29 · answer #1 · answered by Dave aka Spider Monkey 7 · 0⤊ 0⤋
If one-half of one integer is subtracted from three-fifths of the next consecutive integer, the difference is 3
Integers are n, n + 1
3(n + 1)/5 - n/2 = 3
6(n + 1) - 5n = 30 {*10}
6n + 6 - 5n = 30
n = 24
n + 1 = 25
3(25)/5 - 24/2 = 3
15 - 12 = 3
3 = 3
2007-12-03 14:22:43 · answer #2 · answered by kindricko 7 · 0⤊ 0⤋
Let x be the smaller integer and let x+1 be the larger integer.
3=3/5(x+1)-1/2x
3=3/5x+3/5-1/2x
12/5=3/5x-1/2x
12/5=1/10x
120/5=x
x=24
So, the integers are 24 and 25
2007-12-03 14:20:47 · answer #3 · answered by whocares8523 1 · 0⤊ 0⤋
3/5(x + 1) -- x/2 = 3
=> 6(x + 1) -- 5x = 30
=> x = 24, x + 1 = 25
integers are 24 and 25
2007-12-03 14:19:35 · answer #4 · answered by sv 7 · 0⤊ 0⤋
24 and 25
2007-12-03 14:20:15 · answer #5 · answered by Toby J 3 · 0⤊ 0⤋