Question

If a certain number is added to the numerator of 29/62 and twice the number is subtracted from the denominator, the result is equivalent to 3/4. What is the number? A) 4 B) 5 c)6 d) 7
(15points)

Answer 1

Answer:

Correct option: (d) 7.

Step-by-step explanation:

Let the number be denoted by x.

The original fraction is: $\frac{29}{62}$

Add x to the numerator, i.e. 29 and subtract 2x from the denominator, i.e. 62.

The new fraction is: $\frac{29+x}{62-2x}$

Now equate the new fraction to $\frac{3}{4}$ and solve for x as follows:

     $\frac{29+x}{62-2x}=\frac{3}{4}$

$4(29+x)=3(62-2x)\\116+4x=186-6x\\4x+6x=186-116\\10x=70\\x=7$

The value of x is 7.

Thus, the correct option is (d).