Answer:
Three fourths of a number (x) is equal to [tex]18 \frac{1}{2}[/tex] .Required equation is 3x-74=0.
Solution:
We need to represent the given statement as an equation.
Three fourth of a number is equal [tex]18 \frac{1}{2}[/tex]
Let assume the number be represented by variable x.
So three fourth of the number will be
[tex]\frac{3}{4} \times \text { number }=\frac{3}{4} \times x=\frac{3 x}{4}[/tex]
Also three fourth of a number is equal to [tex]18 \frac{1}{2}[/tex]
So we get
[tex]18 \frac{1}{2}=\frac{3 x}{4}[/tex]
On simplifying above term,
[tex]\frac{3 x}{4}=18+\frac{1}{2}[/tex]
[tex]\frac{3 x}{4}=\frac{37}{2}[/tex]
[tex]3 x=2 \times 37[/tex]
3x=74
3x-74=0
Hence required equation is 3x-74=0
