sixty-four can be split into four parts so that when 3 is added to the first part, 3 is subtracted from the second part, the third part is multiplied by 3, and the fourth part is divided by 3, all four parts will be equal. What are the four parts?

Respuesta :

The four parts are 15, 9, 36 and 4

64 is split into 4 parts

3 is added to the first part

  • a + 3

3 is subtracted from the second part

  • a - 3

the third part is multiplied by 3

  • 3a

the fourth part is divided by 3

  • a / 3

Therefore,

(a + 3) + (a - 3) + (3a) + (a / 3) = 64

multiply through by 3 to eliminate the fraction

(3a + 9) + (3a - 9) + 9a + a = 192

16a = 192

a = 192 / 16

a = 12

Therefore,

The four parts are

a + 3 = 12 + 3 = 15

a - 3  = 12 - 3 = 9

3a = 3 × 12 = 36

a / 3 = 12 / 3 = 4

Reverse it you will notice all 4 parts are equal . For example

15 - 3 = 12

9 + 3 = 12

36 / 3 = 12

4 × 3 = 12

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