Ashley is 30 years younger than her mother. In 6 years time her mother will be three times as old as Ashley.
How old is ashley now?
Ashley's Brother is 3 years older than her. How old is her Brother Now?
Answers
Ashley's age = 9 years
Ashley's brother's age = 12 years
Step-by-step explanation:
★Given -
- Ashley is 30 years younger than her mother.
- In 6 years time her mother will be three times as old as Ashley.
- Ashley's Brother is 3 years older than her.
★To find -
- Ashley's present age.
- Ashley's brother's present age.
★Solution -
Present time,
Let the age of Ashley be 'x' years.
Let the age of Ashley mother's be 'y' years.
6 years later,
Ashley's age = (x + 6) years
Mother's age = (y + 6) years
According to the first statement,
→ x + 30 = y ------------------------(i)
Now, according to the second statement,
→ 3(x + 6) = y + 6
→ 3x + 18 = y + 6
→ 3x + 18 = x + 30 + 6 [from (i)]
→ 3x + 18 = x + 36
→ 3x - x = 36 - 18
→ 2x = 18
→ x = 18/2
→ x = 9 years
We know from the third statement that Ashley's brother is 3 years older than her.
Hence, brother's age => x + 3
=> 9 + 3
=> 12 years
Therefore, Ashley's age is 9 years and her brother's age is 12 years.