Olivia is three times as old as her sister.After three years,she is two years more than twice of her sister age.Then what is Olivia present age?
o = 3s
o+3 = 2+2(s+3)
Olivia is 15
To solve this problem, let's break it down step by step.
Let's assume the sister's age is "x" years.
According to the problem, Olivia is three times as old as her sister, so Olivia's age would be 3x years.
After three years, Olivia's age will be 3x + 3 years, and her sister's age will be x + 3 years.
According to the problem, Olivia, after three years, is two years more than twice her sister's age. Mathematically, this can be represented as:
3x + 3 = 2(x + 3) + 2
Now, let's simplify the equation:
3x + 3 = 2x + 6 + 2
3x + 3 = 2x + 8
To solve for x, let's isolate "x" on one side:
3x - 2x = 8 - 3
x = 5
Now that we have found the sister's age (x = 5), we can find Olivia's age by substituting this value back into the equation:
Olivia's age = 3x = 3 * 5 = 15
Therefore, currently, Olivia is 15 years old.