Respuesta :
Answer:
The number is 7.
Step-by-step explanation:
In this case we have an unkown variable that is a number. We will call this number by "x", this is what we want to calculate. In the first part it is said that the number or x is added to the numerator and in the second part it is said that twice the number is added to the denominator, and that this fraction is equal to 1/3. So we have:
1/3 = (12 + x)/(43 + 2*x)
43 + 2*x = 3*(12 + x)
43 + 2*x = 36 + 3*x
43 - 36 = 3*x - 2*x
x = 7
The number is 7.
Answer: 7
Step-by-step explanation:
Let the number be X
When number is added to the numerator of 12/43, the number is 12+X/43 and twice the number is added to the denominator of 12/43, this will give 12+X/43+2X, the resuliting fraction is equivalent to 1/3. Mathematically, this will be
12+X/43+2X = 1/3
Cross multiply
3(12+X) = 43+2X
36+3X= 43+2X
Collected like terms
3X-2X = 43-36
X= 7
The number is 7
