Answer:
Step-by-step explanation:
Tom is 16 and is four times as old as Sam, that makes Sam 4 years old.
We know that the difference between their ages is 12 years. (16–4=12)
We want Tom’s age to be twice Sam’s so we use the following:
Let X represent Sam’s age. Therefore Tom’s age is x +12
(x+12) = 2x (Tom is 12 years older than Sam, AND equal to TWICE Sam’s age.
X + 12 = 2x
12 = 2x — x
12 = x
Therefore, since we are using X as Sam’s age and we now know that Sam will be 12 to satisfy our question, we fill in the original equation.
Tom’s age = x + 12
Tom’s age = 12 + 12
Tom’s age = 24
When Tom is 24, Sam will be 12. Tom will be twice Sam’
hope this helps :)
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Answers & Comments
Answer:
Step-by-step explanation:
Tom is 16 and is four times as old as Sam, that makes Sam 4 years old.
We know that the difference between their ages is 12 years. (16–4=12)
We want Tom’s age to be twice Sam’s so we use the following:
Let X represent Sam’s age. Therefore Tom’s age is x +12
(x+12) = 2x (Tom is 12 years older than Sam, AND equal to TWICE Sam’s age.
X + 12 = 2x
12 = 2x — x
12 = x
Therefore, since we are using X as Sam’s age and we now know that Sam will be 12 to satisfy our question, we fill in the original equation.
Tom’s age = x + 12
Tom’s age = 12 + 12
Tom’s age = 24
When Tom is 24, Sam will be 12. Tom will be twice Sam’
hope this helps :)