Answer:
Correct option: (d) 7.
Step-by-step explanation:
Let the number be denoted by x.
The original fraction is: [tex]\frac{29}{62}[/tex]
Add x to the numerator, i.e. 29 and subtract 2x from the denominator, i.e. 62.
The new fraction is: [tex]\frac{29+x}{62-2x}[/tex]
Now equate the new fraction to [tex]\frac{3}{4}[/tex] and solve for x as follows:
[tex]\frac{29+x}{62-2x}=\frac{3}{4}[/tex]
[tex]4(29+x)=3(62-2x)\\116+4x=186-6x\\4x+6x=186-116\\10x=70\\x=7[/tex]
The value of x is 7.
Thus, the correct option is (d).
