Question

If 60% of a number is added to three-fourths of the same number, the number obtained is 35% more than the original number. Find the original number.

Answer 1

divide it by both the number

Answer 2

Answer:

1

Step-by-step explanation:

Let x be the original number.

Then, according to statement of question,

$60\% of x + \dfrac{3}{4}\times x = 35\% + x\\\\ \Rightarrow \dfrac{60}{100}\times x+\dfrac{3x}{4}=\frac{35}{100} +x\\\\ \Rightarrow \dfrac{3x}{5}+\dfrac{3x}{4}=\dfrac{7}{20} +x\\ \\\Rightarrow \dfrac{12x+15x}{20}=\dfrac{7+20x}{20}\\\\ \Rightarrow 12x+15x=7+20x\\ \Rightarrow27x-20x=7\\ \Rightarrow x = 1$