Answer :
If three times a number added to 4 is divided by the number plus 4, the result is eight thirds, then the number is 20
Solution:
Given that three times a number added to 4 is divided by the number plus 4, the result is eight thirds
To find: the number
Let the required number be "a"
Let us first break the given sentence
three times a number = 3a
three times a number added to 4 = 3a + 4
number plus 4 = a + 4
three times a number added to 4 is divided by the number plus 4 = [tex]\frac{3a + 4}{a + 4}[/tex]
three times a number added to 4 is divided by the number plus 4, the result is eight thirds which means:
[tex]\frac{3a + 4}{a + 4} = \frac{8}{3}[/tex]
On solving we get,
9a + 12 = 8a + 32
9a - 8a = 32 - 12
a = 20
Thus the required number is 20