bill is 3 years older than mike, and mike is 2 years older than sisie. their age altogheter nnow is 25. how old will billy be in 5 yrs from now.

Respuesta :

Answer:

16 years old

Step-by-step explanation:

sisie is 6 years old, mike is 8 years old, and billy is 11 years old. 11+8+6=25

11+5=16

hope this helps

Answer: 16 years old.

Step-by-step explanation:

Bill is 3 years older than Mike (B=3+M), and Mike is 2 years older than Sisie (M=2+S). Their age altogether now is 25. (B+M+S=25). How old will billy be in 5 years from now?

First of all, let's write our equations.

[tex]b=m+3\\m=s+2\\b+m+s=25[/tex]

Where;

b = Bill's age

m = Mike's age

s = Sisie's age

Let's find b in terms of s by replacing m in the first equation.

[tex]b=m+3\\b=s+2+3\\b=s+5[/tex]

Now our m and b have the same s variable which makes it easier for us to replace in the third equation to find s.

[tex]b+m+s=25\\(s+5)+(s+2)+s=25\\s+5+s+2+s=25\\3s+7=25\\3s=25-7\\3s=18\\s=\frac{18}{3}\\ s=6[/tex]

Now that we've found s, simply replace in Mike's age equation to find his age.

[tex]m=s+2\\m=6+2\\m=8[/tex]

Now replace m in Bill's age equation.

[tex]b=m+3\\b=8+3\\b=11[/tex]

Therefore, Bill is 11 years old, Mike is 8 years old, and Sisie is 6 years old. Altogether, they're 25 years old.

Our question is: How old will bill be in 5 years from now?

If Bill is 11, add 5 = 16 years old.