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

Correct option: (d) 7.

Explanation:

Let the number be denoted by x.

The original fraction is:
`(29)/(62)`

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

The new fraction is:
`(29+x)/(62-2x)`

Now equate the new fraction to
`(3)/(4)` and solve for x as follows:

`(29+x)/(62-2x)=(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).