Asked by paul

One-half of a number plus three-fourths of the number is 2 more than four-thirds of the number. find the number .

Answers

Answered by Stephen
(1/2)x+(3/4)x=(4/3)x+2

solve for x

(5/4)x=(4/3)x+2

-(1/12)x=2

x= 2 * -12

x=-24

the number is -24
Answered by Jai
Let n = the number

Express each phrase into mathematical expression:
one-half of the number is (1/2)n
three-fourths of the number is (3/4)n
2 more than four-thirds of the number is (4/3)n + 2

Therefore,
(1/2)n + (3/4)n = (4/3)n + 2

Solving, determine first the least common multiple of the denominators of all fractions in the equation. Then we can multiply it to both sides of equation to remove the fractions. The LCM of 2, 4 and 3 is 12, thus,

12 * [(1/2)n + (3/4)n] = 12 * [(4/3)n + 2]
6n + 9n = 16n + 24

Combine all terms with variable n:
15n = 16n = 24
15n - 16n = 24
-n = 24
n = -24

Hope this helps~ `u`
Answered by Wut
None of this helps
Answered by Shanelle
Whath a answer 8/9 plus 3/4
Answered by Caca
It’s 4/6 or B
Answered by Fabien
two plus two is four
Answered by Fabien
sht my p
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