Question

if 2 is subtracted from one third of a certain number the difference is equal to the sum of 3 and one forth of that number find the number​

Answer 1

Answer:

60

Step-by-step explanation:

Let the number be x

one-third of x = (x/3)

2 is subtracted, so

(x/3)x - 2 = 3 + (x/4)

(x/3) - (x/4) = 3 + 2

find the LCM of 4 and 3, LCM = 12

(x/3) × 12 =4x

(x/4) × 12 = 3x

∴ (4x - 3x)/12 = 5

x / 12 = 5

x = 5 × 12

x = 60