SOLUTION: I have six problems that i need help with if you cant answer all. Just show me how to set them up 1. The sum of 5 and a number is three. Find the number. Ans: Let x be that no.

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Question 58005: I have six problems that i need help with if you cant answer all. Just show me how to set them up
1. The sum of 5 and a number is three. Find the number.
Ans: Let x be that no.
hence x+5=3
Implies x=3-5=-2
x=-2
2. The difference between five and twice a number is one. Find the number.
Let that no.be x
5-2x=1
2x=5-1
2x=4
x=2
3. Four times the sum of twice a number and three is twelve. Find the number.
4(2x+3)=12
2x+3=12/3=4
2x=4-3=1
2x=1
x=1/2
4.Twice the difference between a number and twenty-five is three times the number. Find the number
2(x-25)=3x
2x-50=3x
x=-50
5. The sum of two numbers is twenty. Three times the smaller is equal to twice the larger. Find the number.
x+y=20 ------ (1)
3x=2y i.e, 3x-2y=0 ------ (2)
(1)*2 implies 2x+2y=40 ------- (3)
(2)+(3) implies 5x=40
x=8 & 8+y=20
x=8 & y=12
6. A 14-yard fishing line is cut into two pieces. Three times the length of the longer piece is four times the length of the shorter piece. Find the length of each piece
Answer by jaya_rohith1@yahoo.com(33) (Show Source):
You can put this solution on YOUR website!
1) x=-2
2)x=2
3)x=1/2
4)x=-50
5)x=8, y=12
6)x+y=14 --- (1)
3x-4y=0 --- (2)
(1)*4 implies
4x+4y=56
3x-4y=0
---------
7x = 56
---------
x = 56/7
x = 8
8+y = 14 implies y=14-8=6 implies y=6