2007-02-04 18:47:51 · 8 answers · asked by Anonymous in Education & Reference ➔ Homework Help
The numbers are 22 and 56. Here's how I figured it out:
x - y = 34
3y -10 = x
So:
(3y - 10) - y = 34
2y - 10 = 34
2y = 44
y = 22
Plug y into the first equation:
3(22) - 10 = x
66 - 10 = x
56 = x
2007-02-04 19:01:07 · answer #1 · answered by iwriteplays 2 · 0⤊ 1⤋
a - b = 34 [formula 1]
Because the difference between the 2 numbers is 34
and
b = 3a - 10 [formula 2]
because the second number (b) is 10 lower than 3 times the first number (3a)
now you substitute 3a - 10 instead of b in formula 1, because what formula 2 tells us is that b and (3a-10) are the same thing.
a - (3a - 10) = 34
a - 3a + 10 = 34
-2a = 24
a = -12
now you find b using formula 2
b = 3a - 10
b = 3(-12) - 10
b = -36 - 10
b = -46
Angelic made his/her error in assuming that the difference is a - b or b - a. If you use his numbers, then a is 22, and b is 56.
[formula 1] 22 - 56 =/ 34 (it is actually minus 34)
[formula 2] 56 = 66 - 10
It satisfies formula 2, but not formula 1
Hope this helps
-Randall
2007-02-05 02:59:51 · answer #2 · answered by Anonymous · 2⤊ 1⤋
Here are the first two steps in figuring out the problem; let's see if you can figure out the rest:
The difference of two numbers is 34.
a - b = 34
The second is 10 less than 3 times the first.
b = 3a - 10
2007-02-05 02:56:56 · answer #3 · answered by keengrrl76 6 · 0⤊ 1⤋
The model method:
1st number----------------------U + 10
2nd number---------------------U + U + U + 10 + 10 (10 less than 3 times the first)
Difference = 2U+10 (observe above model) = 34 (given in question)
hence, 2U = 34 - 10>>>>2U = 24 >>>1U=12
1st number: U + 10 >>>12 + 10 = 22
2nd number: U+U+U+10+10 >>> 36 + 20 >>> 56
2007-02-05 03:22:02 · answer #4 · answered by k90267000 1 · 0⤊ 1⤋
x - y =34 and y = 3x-10 per the stated problem. Substitute the value of y in the first equation and solve
x -(3x-10) = 34
x -3x+10 = 34
-2x+10 = 34
-2x = 34 - 10
-2x=24
x = 24/-2
x=-12
If you put that value in the original problem, then
-12 -y = 34
-y = 34+12
-y = 46
(-1)(-y) = (-1)(46)
y = -46
-12-(-46) = 34
-12+46=34
2007-02-05 03:04:50 · answer #5 · answered by Lillian L 5 · 0⤊ 1⤋
The first number is 22, while the second one is 56.
2007-02-05 02:54:58 · answer #6 · answered by AngelicDevil 2 · 0⤊ 2⤋
Colts 29
Bears 17
The difference is 12.
Oops.
It's Superbowl night, the important numbers are in.
You're on your own.
Good Luck.
2007-02-05 02:57:06 · answer #7 · answered by yolkyolk 5 · 0⤊ 0⤋
The answer is : -12 & -46
2007-02-05 03:36:38 · answer #8 · answered by dadash_farshad 1 · 0⤊ 1⤋