Two numbers come one after the other. A fifth of the smaller number is one more than a sixth of the bigger one. What are the the two numbers?
Please explain roughly how you did it. I really need to know. Thanks !
2007-05-24 10:10:36 · 9 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
First number is x
Second number is x + 1
(1/5)(x) = 1 + (1/6)(x + 1)
x/5 = 1 + (x/6) + 1/6
x/5 = 7/6 + x/6
x / 5 = (7 + x) / 6
6x = 5(7 + x)
6x = 35 + 5x
x = 35
So, the numbers are 35 and 36.
2007-05-24 10:15:53 · answer #1 · answered by Mathematica 7 · 0⤊ 4⤋
Two numbers come one after the other
=> if one number is n, then the other is n+1
A fifth of the smaller number: n/5
A sixth of the bigger one: (n+1)/6
A fifth of the smaller number is one more than a sixth of the bigger one means:
n/5 = (n+1)/6 + 1
multiply both sides of the equation by 30 (= 5·6) to get rid of the fractions:
30·n/5 = 30·(n+1)/6 + 30·1
6n = 5(n+1) + 30
simplify
6n = 5n + 5 + 30
6n = 5n + 35
subtract 5n on both sides
n = 35
=> So the numbers n and (n+1) are 35 and 36.
Hope this helps!
2007-05-24 10:15:02 · answer #2 · answered by M 6 · 6⤊ 1⤋
let the smaller numberbe n, then the bigger one =n+1
then,n/5=(n+1)/6+1
or6n=5n+5+30
n=35.
the two numbers are 35&36.
you can verify that theanswer satisfies the conditions of the given problem.
2007-05-24 10:20:22 · answer #3 · answered by Anonymous · 0⤊ 0⤋
Since the numbers are consecutive (integers), represent them with n and n+1. Then
(1/5)n = 1 + (1/6)(n+1) ........... multiply by 30
6n = 30 + 5(n+1)
6n = 30 + 5n + 5
n = 35
n+1 = 36
2007-05-24 10:16:09 · answer #4 · answered by Philo 7 · 2⤊ 0⤋
call smaller number x, larger is x+1
x/5 = (x+1)/6 + 1
multiply both sides by 30 to get rid of fractions
6x = 5(x+1)+30 = 5x+35
x = 35
2007-05-24 10:15:02 · answer #5 · answered by holdm 7 · 0⤊ 3⤋
x, x + 1
(1/5)x = (1/6)(x + 1) + 1
(1/5)x = (1/6)x + (1/6) + 1
6x = 5x + 5 + 30
x = 35
ANS : 35 and 36
2007-05-24 10:18:20 · answer #6 · answered by Sherman81 6 · 0⤊ 1⤋
It doesnt count number in case you dont get an A+ or a a hundred. as long as you attempt your superb. be sure you utilize your ideas additionally. solid success. i'm hoping you do solid. you may only get an A+!
2016-10-13 09:05:45 · answer #7 · answered by Erika 4 · 0⤊ 0⤋
35 and 36
Solve the system:
b-a = 1
a/5 = b/6 +1
It will give a=35 and b=36
2007-05-24 10:15:13 · answer #8 · answered by Damien 4 · 0⤊ 2⤋
the equation for this is
1+x/5
you can do it out from there i hope! good luck!
2007-05-24 10:15:28 · answer #9 · answered by mla2142 1 · 0⤊ 2⤋