Determine the digits of Y from these clues. The digits of Y add to 16. The first digit is 4 times the third digit. The second digit is 3 times the third digit. Y is a three digit number. 268 826 628 862

Respuesta :

Its the last one (the only one that applies to the first rule).

Answer: 862

Step-by-step explanation:

Let the third digit of Y be x .

Then , the first digit will be 4x and the second digit will be 3x.

Since , the digits of Y add to 16.

Then we have

[tex]3x+4x+x=16\\\\\Rightarrow\ 8x=16\\\\\Rightarrow\ x=\dfrac{16}{8}=2[/tex]

Thus , the third digit of Y = 2

Then the first of Y digit will be [tex]4(2)=8[/tex]

The second digit of Y will be  [tex]3(2)=6[/tex]

Hence, the  digits of Y must be 862