If 70 is subtracted from two-third of a number, then the result is equal to the sum of 30 and one-fourth of that number. Find the number.

Correct option is A

Given:

Let the number be x.

Two-third of the number:$$\frac{2}{3}$$x​

Subtracting 70: $$\frac{2}{3}x - 70$$​​

Sum of 30 and one-fourth of the number: 30 + $$\frac{1}{4}x$$​​

Solution:

​$$\frac{2}{3}x - 70 = 30 + \frac{1}{4}x$$​​

​$$\frac{2}{3}x - \frac{1}{4}x = 30 + 70$$​​

​$$\frac{8}{12}x - \frac{3}{12}x = 100$$​​

​$$\frac{5}{12}x = 100$$​​

x = 10$$0 \times \frac{12}{5}$$​​

x=240

Option (A) is right.