one-third of lexie's age is 4 years more than one-fifth of this age. lexie's sister is five years younger than her. how old is lexie's sister?
so no answer?
To find the age of Lexie's sister, we first need to determine Lexie's age. Let's break down the given information step by step.
Let's assume Lexie's age is L years.
According to the given information:
"One-third of Lexie's age is 4 years more than one-fifth of this age."
This can be expressed as:
(1/3) * L = (1/5)L + 4
To solve this equation and find Lexie's age, we can start by multiplying both sides of the equation by 15 (the least common multiple of 3 and 5) to eliminate the fractions.
15 * [(1/3) * L] = 15 * [(1/5)L + 4]
5L = 3L + 60
Subtracting 3L from both sides gives:
5L - 3L = 60
2L = 60
Dividing both sides by 2 gives:
L = 30
Therefore, Lexie is 30 years old.
Next, we're given that Lexie's sister is five years younger than her. So, Lexie's sister's age would be 30 - 5 = 25.
Hence, Lexie's sister is 25 years old.