Question

If three times a number added to 2 is divided by the number plus 4 the result is eight thirds. Find the number

Answer 1

26

Explanation:

(3a+2)/(a+4) = 8/3

(3a+2) = (8/3)(a+4)

(3a+2) = a*8/3 + 4*8/3

(3a+2) = 8a/3 + 32/3

3a - 8a/3 = 32/3 - 2

9a/3 - 8a/3 = 32/3 - 6/3

9a - 8a = 32 - 6

a = 26

Check:

(3*26 + 2) / (26+4) = 8/3

(78+2) / 30 = 8/3

80 / 30 = 8/3