Respuesta :
William's present age = x
William 15 years from now = x + 15
William 5 years ago = x - 5
William says that 15 years from now, his age will be 3 times his age 5 years ago.
x + 15 = 3(x-5) ← equation formed
x + 15 = 3x - 15
3x - x = 15 + 15
2x = 30
x = 15 . ← William's current age
William is 15 now
William 15 years from now = x + 15
William 5 years ago = x - 5
William says that 15 years from now, his age will be 3 times his age 5 years ago.
x + 15 = 3(x-5) ← equation formed
x + 15 = 3x - 15
3x - x = 15 + 15
2x = 30
x = 15 . ← William's current age
William is 15 now
Answer:
As per the statement:
William says that 15 years from now, his age will be 3 times his age 5 years ago.
Here, x represents the William’s present age.
"His age after 15 years from now means" x +15
"His age 5 years ago means x -5"
"3 times his age 5 years ago translated to" 3 (x-5)
then;
the statement becomes:
[tex]x+15 = 3(x-5)[/tex]
Using distributive property [tex]a \cdot (b+c) =a\cdot b+ a\cdot c[/tex]
[tex]x+15 = 3x-15[/tex]
Subtract x from both sides we have;
[tex]15 = 2x-15[/tex]
Add 15 to both sides we have;
[tex]30 = 2x[/tex]
or
2x = 30
Divide both sides by 2 we have;
x = 15
Therefore, the present age of William’s is, 15 years
