The sum of 3 numbers is 43. The first number is 10 more than the second number and the third number is 2 less thnt 3 times the second number. (a) what is the greater of the three numbers? (b) what is the least of the three numbers.
2007-01-26 12:26:05 · 9 answers · asked by larrylnguyen 1 in Science & Mathematics ➔ Mathematics
Numerical data:
1. x+10
2. x
3. 3x - 2
First: combine the expressions to equal "43"...
x + 10 + x + 3x - 2 = 43
Sec: combine "like" terms....
x + x + 3x + 10 - 2 = 43
5x + 8 = 43
*Subtract "8" from both sides...
5x + 8 - 8 = 43 - 8
5x = 35
*Isolate "x" on one side > divide both terms by "5"...
5x/5 = 35/5
x = 7
Third: replace "7" with the x-variables in the expressions...
1. x + 10
7 + 10
= 17
2. x = 7
3. 3x - 2
3(7) - 2
21 - 2
19
Solutions: 7, 17, 19
a. 19 is the greatest number
b. 7 is the least number
2007-01-26 15:05:11 · answer #1 · answered by ♪♥Annie♥♪ 6 · 0⤊ 0⤋
nr 1: n +10
nr 2: n
nr 3: 3n -2
(n + 10) + n + (3n - 2) = 43
5n +8 = 43
5n = 43 - 8
5n = 35
n = 35 : 5
n = 7
Answer:
(a) The greater of the three numbers is the 1st one (n + 10 = 17)
(b) The least of them is the 3rd (19).
><
2007-01-26 12:51:31 · answer #2 · answered by aeiou 7 · 0⤊ 0⤋
U gota draw a model,
43 - 10 = 33
33 + 2 = 35
35 / 5 = 7 ( least answer )
7 * 3 = 21
21 - 2 = 19 ( highest answer )
2007-01-26 12:42:12 · answer #3 · answered by Misumi Nagisa fan xD 2 · 0⤊ 0⤋
equation:
let n = number
n + 1 + 10 = 3n + 1 - 2
n+11 = 3n - 1
11 = 2n - 1
12 = 2n
6 = n
1st # = 17 (n+1+10)
2nd # = 7 (n+1)
3rd # = 19 3(n+1) - 2
17 + 7 + 19 = 43
7 = least # (2nd #)
19 = highest # (3rd #)
Hope this helps...
2007-01-26 12:44:37 · answer #4 · answered by Rmprrmbouncer 5 · 0⤊ 0⤋
a + b +c = 43
a = b + 10
c = 3b -2
substituting:
b + 10 + b + 3b - 2 = 43
5b -8 = 43
5b = 35
b = 7
a = 17
c = 19
17 + 7 + 19 = 43
2007-01-26 12:34:51 · answer #5 · answered by John T 6 · 0⤊ 1⤋
a + b + c = 43 = a + a + 10 + 3a + 28 = 5a + 38
b = a + 10
c + 2 = 3b = 3a + 30
c = 3a + 28
a = 1, b = 11, c = 31
2007-01-26 12:34:34 · answer #6 · answered by feanor 7 · 0⤊ 2⤋
Use this equation:
x + (x + 10) +[3 (x +10) -2] = 43
2x + 10 + (3x + 30 -2)= 43 [simplified]
5x + 38 = 43 [simplified]
5x = 5 [subracted 5 from both sides]
x = 1 [divided both sides by 5]
The numbers are 1, 11, and 31.
So the answers are..
a. 31
b. 1
Good luck! Thanks kc I thought it was 3 less than 2 times..my bad!
2007-01-26 12:33:44 · answer #7 · answered by ?? 2 · 0⤊ 3⤋
Another words whats the answer. let me try:
Formula is trial and error(i know i hate that formula the most)
answer: 1, 11, 31
i love math its a strong point of mine!
please give me best answer!!!
****anonymous your answer is wrong because 14 times 3 is 42 and that minus 2 is 40, not 25
2007-01-26 12:32:03 · answer #8 · answered by Miss Casey 4 · 0⤊ 4⤋
a) 19
b) 7
2007-01-26 12:46:59 · answer #9 · answered by 1988_Escort 3 · 0⤊ 0⤋