Sam is 2 years old, and his mother is 28 years old. In how many years will Sam's mother be 3 times as old as he will be?
2 + x= (1/3) (28+x)
6 + 3 x = 28 + x
2 x = 22
you finish
Let's denote the number of years as "x" when Sam's mother will be three times as old as Sam will be.
Currently, Sam's age is 2 years and his mother's age is 28 years.
In x years, Sam's age will be 2 + x, and his mother's age will be 28 + x.
According to the problem, in x years, Sam's mother will be three times as old as Sam will be:
28 + x = 3(2 + x)
Let's solve this equation to find the value of x:
28 + x = 6 + 3x
2x - x = 28 - 6
x = 22
Therefore, in 22 years, Sam's mother will be three times as old as Sam will be.
To find out how many years it will take for Sam's mother to be three times as old as he will be, let's break down the problem and solve it step by step.
Let's assume it will take x years for Sam's mother to be three times as old as Sam. So, at that time, Sam will be x years old, and his mother will be 3 times x, which is 3x years old.
Now let's set up an equation to solve for x:
Sam's age in x years = 2 + x
Sam's mother's age in x years = 28 + x
According to the given information, Sam's mother's age in x years will be three times Sam's age, so we can write the equation as:
28 + x = 3(2 + x)
Now, let's solve for x.
Distribute the 3 on the right side of the equation:
28 + x = 6 + 3x
Subtract x from both sides of the equation to isolate the x terms:
28 = 6 + 2x
Subtract 6 from both sides of the equation:
22 = 2x
Divide both sides of the equation by 2:
11 = x
Therefore, it will take 11 years for Sam's mother to be three times as old as Sam.