Question

If a number is added yo the numerator of 12/43 and twice the number is added to the denominator of 12/43 the resuliting fraction is equivalent to 1/3 find the number

Answer 1

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 2

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