Question

If 24 is added to 4/7th of 3/4th of a number the result is the same number. Find the number?

Answer 1

Answer:

Step-by-step explanation:LET THE NUMBER BE 'X'

ACCORDING TO GIVEN CONDITION:

24+4/7*3/4*X=X

24+12x/28=X

24+3x/7=X. (3/7 IS THE REDUCED FORM OF 12/28)

24(7)+3x/7. ( LCM IS 7)

168+3x/7= X

168+3x = 7(X). (Cross multiplication)

168+3x=7x

168=7x-3x

168=4x

168/4=X

42=X

ANS: THE NUMBER IS 42