Tom is now 25 years older then his son. In 10 years, Tom will me 5 years younger than 3 times his sons age. how old is tome now?
T = Tom's age.
S = Son's age.
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equation 1 is T - 15 = S
equation 2 is T+ 10 + 5 = 3*(S+10)
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Solve the two equations simultaneously.
Post your work if you get stuck.
Check my thinking. Check my work.
To solve this problem, let's first assign variables to the ages of Tom and his son.
Let's say the son's current age is "x" years.
According to the given information, Tom is currently 25 years older than his son. So, Tom's current age can be expressed as "x + 25".
Now, let's consider the situation in 10 years. Tom's age in 10 years would be "x + 25 + 10" which simplifies to "x + 35". Similarly, the son's age in 10 years would be "x + 10".
According to the problem, in 10 years, Tom will be 5 years younger than 3 times his son's age. This can be represented by the equation:
x + 35 = 3(x + 10) - 5
Now, let's solve the equation to find the value of "x", which is the son's current age:
x + 35 = 3x + 30 - 5
x + 35 = 3x + 25
x - 3x = 25 - 35
-2x = -10
x = -10 / -2
x = 5
Therefore, the son's current age is 5 years.
Now, let's calculate Tom's current age by substituting this value back into the equation:
Tom's current age = x + 25 = 5 + 25 = 30
So, Tom is currently 30 years old.