Question

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

Answer 1

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 =
`(3a + 4)/(a + 4)`

three times a number added to 4 is divided by the number plus 4, the result is eight thirds which means:

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

On solving we get,

9a + 12 = 8a + 32

9a - 8a = 32 - 12

a = 20

Thus the required number is 20