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____ [38]
2 years ago
6

William says that 15 years from now, his age will be 3 times his age 5 years ago. If x represents William’s present age, complet

e the following sentences. 15 years18 yearsx − 15 = 3(x + 5)x + 15 = 3(x − 5)
Mathematics
2 answers:
Gwar [14]2 years ago
6 0
William's present age = x
William 15 years from now = x + 15
William 5 years ago = x - 5

<span>William says that 15 years from now, his age will be 3 times his age 5 years ago. 
x + 15 = 3(x-5)  </span>← equation formed<span>
x + 15 = 3x - 15
3x - x = 15 + 15
2x = 30
x = 15 . </span>← William's current age<span>
William is 15 now</span>
oksian1 [2.3K]2 years ago
3 0

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:

x+15 = 3(x-5)

Using distributive property a \cdot (b+c) =a\cdot b+ a\cdot c

x+15 = 3x-15

Subtract x from both sides we have;

15 = 2x-15

Add 15 to both sides we have;

30 = 2x

or

2x = 30

Divide both sides by 2 we have;

x = 15

Therefore, the present age of William’s is, 15 years

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