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

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

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 =

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

On solving we get,

9a + 12 = 8a + 32

9a - 8a = 32 - 12

a = 20

Thus the required number is 20

6 (3) - 4 + 32

hope this

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.