write two equations based on the information given in this problem. Once you have your equations, solve for the two numbers. Need the supporting equations
2007-06-16 12:45:45 · 11 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Guy above, she said "3 more than 5 times" not "5 more than 3 times".
x+y=105
y = 5x+3
x + 5x+3 = 105
6x + 3 = 105
6x = 102
x = 17
y = 5(17)+3
y = 88
2007-06-16 12:48:58 · answer #1 · answered by bourqueno77 4 · 0⤊ 1⤋
Simply notice that their sum must be 3 more than (5+1) times the first. Since the sum is 105, this means 105-3 is 6 times the first, so the first is 17, the other is 105-17=88.
2007-06-16 22:02:22 · answer #2 · answered by Anonymous · 0⤊ 0⤋
Let the numbers be x and y
by the problem,
x+y=105........(1),and
y=5x+3...........(2)
In equation (1) ,substituting y by 5x+3,we get,
x+5x+3=105
or.6x=105-3=102
or,x=102/6=17.
Putting the value of x in the second eqn we get
y=5*17+3=88
therefore the nos. are 17 and 88
2007-06-16 19:54:23 · answer #3 · answered by alpha 7 · 0⤊ 0⤋
let the two numbers be a and b
a + b = 105
b = 3 + 5*a
these are the two supporting equations. You can solve this by substituting the value of b from the second equation in the first. I think you can solve this from here on...
2007-06-16 22:27:45 · answer #4 · answered by Ohil 3 · 0⤊ 0⤋
num1 + num2 = 105 ... equation 1
The second is 3 more than 5 times the first.
If the first is num1, then then num2 is:
num2 = 5 * num1 + 3 ... equation 2
Hence, substituting:
num1 + (5 * num1 + 3) = 105
num1 + 5num1 + 3 = 105
6num1 = 102
num1 = 102/6 => 17
Substitute for num1 in equation 1
17 + num2 = 105
num2 = 105 - 17
2007-06-16 20:02:58 · answer #5 · answered by Stewy 5 · 0⤊ 0⤋
Let the two numbers be x and y.
x + y = 105
y = 5x + 3
Substitute back into the first equation.
x + (5x + 3) = 105
6x = 102
x = 17
y = 105 - 17 = 88
The two numbers are 17 and 88.
2007-06-16 19:50:27 · answer #6 · answered by Northstar 7 · 0⤊ 0⤋
x + y = 105
y = 5x + 3
Substitute the second equation into the first:
x + y = 105
x + (5x + 3) = 105
6x = 102
x = 17
Use the second equation to calculate y now that x is known:
y = 5x + 3
y = 5*17 + 3
y = 88
Thw two numbers are 17 and 88.
2007-06-16 19:48:32 · answer #7 · answered by McFate 7 · 1⤊ 1⤋
Let the numbers be x and y
x + y = 105
x + (5x + 3) = 105
6x = 102
x = 17
y = 88
Numbers are 17 and 88
2007-06-17 11:09:11 · answer #8 · answered by Como 7 · 0⤊ 0⤋
17+88
5*17=85
85+3=88
2007-06-16 20:01:40 · answer #9 · answered by J S 2 · 0⤊ 0⤋
let the two numbers be n&105-n
105-n=3+5n
6n=102
n=17.
the numbers are 17&88. answer
2007-06-16 19:52:01 · answer #10 · answered by Anonymous · 1⤊ 0⤋