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The sum of two numbers is 133. Four times the smaller of the two numbers equals three times the greater number. Find the numbers.

2007-01-30 14:51:25 · 8 answers · asked by tennisdude2793 2 in Science & Mathematics Mathematics

8 answers

x + y = 133
4x=3y

solve for x in one of the problems
4x=3y
x=3y/4

x+y=133
3y/4 + y = 133
multiply everything by 4
4(3y/4) + 4*y = 133*4
3y + 4y = 532
7y = 532
divide by 7
y = 532/7
y=76

x+y=133
x+76=133
x=133-76
x=57

Answer: 57 and 76

2007-01-30 14:57:45 · answer #1 · answered by Bill F 6 · 0 0

let x be one number (smaller)
let y be the other (greater)

x + y = 133
4x = 3y

with the first one, isolate for a particular unknown, let's say for y

y = 133 - x

substitute

4x = 3(133 - x)

4x = 399 - 3x

move the three x to the other side..becomes addition

7x = 399

x = 57

if x + y = 133, then y = 133 - 57 = 76

2007-01-30 14:57:16 · answer #2 · answered by Anonymous · 0 0

x+y=133 x=133-y
4x=3y x=3/4y
133-y=3/4y
133=1 3/4y
133/ 7/4= y
y=76
76+x=133
133-76= 57
x=57 y=76!!!

2007-01-30 14:59:55 · answer #3 · answered by Marie 2 · 0 0

57 and 76

2007-01-30 15:01:39 · answer #4 · answered by Kicks Galore! 4 · 0 0

(a + b = 133 (-3)
(4b = 3a

3a + 3b = 399
-3a + 4b = 0
-----------------
7b = 399
b = 57

a + b = 133
a + 57 = 133
a = 133 - 57
a = 76
Answer: a = 76; b = 57.
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2007-01-30 15:20:10 · answer #5 · answered by aeiou 7 · 0 0

57 and 76

This is how I did it....

1. x+y=133

2. 3x=4y

3. 3x-4y=133

now, just use both the 1st and 3rd and substitute and you get the answers of 57 and 76

2007-01-30 14:56:02 · answer #6 · answered by Anonymous · 0 0

first, enable x be the ouncesof seeds used, and y be the ouncesof nuts used. so which you get x+y=40 two then, seeds cost 20 cents per ounce, and nuts cost 30 cents per ounce, you may get 20*x is the cost of seeds, and 30*y is the cost of nuts. so which you get 20x+30y=1100 ( use 1100 using fact it fairly is $11=1100 cents) and resolve for x, y x = sixteen, y = 26 the respond is sixteen ouncesof seeds and 26 ouncesof nuts

2016-12-13 04:59:40 · answer #7 · answered by killeen 4 · 0 0

i got about 65 + 68
try it .......

2007-01-30 15:00:38 · answer #8 · answered by Nikki DV 1 · 0 2

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