True or False: If a number is added to the numerator of 5/7 and twice as much is subtracted from the denominator, the result is 8. The number is 2.

Question

Its a true or false question so obviously the answers are:

A. True

B. False

Answer 1

(5+2)/(7-2(2))

= 7/(7-4)

= 7/3

= 2 1/3, not 8

Answer: False

(5+3)/(7-2(3))

=8/1 = 8

Answer 2

5/7 becomes (5 + x)/(7 - 2x) = 8 per the question.

5 + x = 8(7 - 2x) -> 5 + x = 56 - 16x -> 17x = 51 -> x = 51/17 = 3 (not 2)

check: (5 + 3)/(7 - 6) = 8 Answer is B (False)