Question

If (3/4)th of a number is less than (5/6)th of the number by 3. Find the number.

Answer 1

Answer:

the number is 36.

Step-by-step explanation:

Let the number be x.

according to the given condition,

(3/4) of x + 3 = (5/6) of x

Hence,

(3/4) x + 3 = (5/6) x

= 3x /4 + 3 = 5x/6

= (3x + 12 ) /4 = 5x /6

= (3x + 12) (6) = 5x(4) ....... [ cross multiplying]

= 18x + 72 = 20x

= 72 = 20x - 18x

= 72 = 2x

= 72 /2 = x

36 = x.