Question

If 3/4of a number is added to 5/6 you a result of taking 7/8 from twenty whole number one over three

Answer 1

Answer

QUICK METHOD.

Given. (3/4)*X + 5/6) = (20 - (7/8)*X).

Rearrange.

(3/4 + 7/8)*X = ( 20 - 5/6).

The LCM of (4,6,8) is (24)

( 18/24 + 21/24 )*X = ( 480/24 - 20/24 ).

39X = 460.

Answer The number is X = 11 + 31/39.

Answer 2

Given:- (3/4)× x + 5/6) = (20 - (7/8) × x).

Rearrange:-

(3/4 + 7/8) × x = (20 - 5/6).

The LCM of (4,6,8) is (24)

(18/24 +21/24 ) × x = ( 480/24 - 20/24).

39X = 460.

The number is X = 11 + 31/39.