Angie and clare start with the same number.
Angie multiplies it by 4 then subtracts her answer from 6.
Clare adds 3 then multiplies by 5.
They finish with the same number.
What was their starting number???
It may be that i'm thick but this does seem quite hard, i've tried loads but the answers i get dont seem to work. Please help!!!
2007-04-29 03:24:36 · 8 answers · asked by shannon 1 in Science & Mathematics ➔ Mathematics
5
its multiples
15 is a multiple of 5 and tha 1st answr culd b 5
2007-04-29 03:28:29 · answer #1 · answered by cerri-anne 3 · 0⤊ 1⤋
Let the number be x i.e an unknown
Angie multiplies by 4 (4x) and subtracts her answer from 6 (6-4x)
Clare adds 3 (x+3) abd multiplies by 5 (5x + 15)
The numbers are the same so
6-4x = 5x + 15
-9 = 9x
x = -1
check: angie multiplies by 4 (-4) and takes from 6 : 6 -(-4) = 10
clare adds 3 (2) and multiplies by 5 (10)
2007-04-29 03:33:30 · answer #2 · answered by welcome news 6 · 1⤊ 0⤋
Let x be the starting number.
Angie gets 6-4x
Clare gets 5(x+3) = 5x +15.
So 6-4x = 5x+15
Add 4x to each side
6 = 9x + 15
Subtract 15 from both sides
9x = -9
x = -1.
Check: Angie gets -4 and 6 -(-4) = 10
Clare gets 2 and 5*2 = 10,
so -1 is the answer.
2007-04-29 03:40:47 · answer #3 · answered by steiner1745 7 · 3⤊ 0⤋
6 - 4x = 5 (3 + x)
6 - 4x = 15 + 5x
- 9 = 9 x
x = -1
6 - (-4) = {(-1)+3})5
10 = (2)5
This is not a problem you can just luck out on the answer. You need to follow the directions EXACTLY, to set up the equations correctly, AND watch your signs carefully.
2007-04-29 03:47:11 · answer #4 · answered by Don E Knows 6 · 1⤊ 0⤋
Let this number be x.
As their final answers are the same,
6 - 4x = 5(x + 3)
6 - 4x = 5x + 15
6 - 15 = 5x + 4x
-9 = 9x
x = -9 / 9
x = -1
2007-04-30 02:55:41 · answer #5 · answered by Kemmy 6 · 0⤊ 0⤋
Let the number be x.
6-4x = 5(x+3)
6-4x = 5x +15
6-15 = 5x +4x
-9 = 9x
x = -1
2007-04-30 22:14:02 · answer #6 · answered by Anonymous · 0⤊ 0⤋
if the starting number=A then
angie=(A*4)-6
clare=(A+3)*5
because angie=clare then
(A*4)-6=(A+3)*5
4A-6 = 5A+15
4A-5A = 15+6
-A = 21
A = -21
so the starting number is -21
thanks
i hope it can help u...
2007-04-29 03:40:10 · answer #7 · answered by johanes greIMOn 2 · 0⤊ 2⤋
Let the numbey they started with be called n.
ANGIE: 4n - 6
CLARE: 5(n+3)
THEREFORE: 4n - 6 = 5(n+3)
MULTIPLY OUT THE BRACKETS: 4n - 6 = 5n+15
GET ALL THE nS ON ONE SIDE (minus 4n): -6 = n+15
MINUS 15: -21 = n
THEREFORE, they both started with -21.
2007-04-29 03:35:07 · answer #8 · answered by Anonymous · 0⤊ 2⤋