SOLUTION: Daryl is one-half of her brother's age now. Two years ago, her brother was two more than twice Daryl's age. Give their ages 8 years.
Algebra.Com
Question 1132336: Daryl is one-half of her brother's age now. Two years ago, her brother was two more than twice Daryl's age. Give their ages 8 years.
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!
Let Daryl's age be x; then her brother's age is 2x.
2 years ago, Daryl's age was x-2 and her brother's age was 2x-2.
The problem says that 2 years ago her brother's age was 2 more than twice her age:
The two expressions are the same; the equation is true for any value of x.
That means there is no unique answer to the problem. That is easily verified by choosing any value of x:
x = 5 --> their current ages are 5 and 10; 2 years ago they were 3 and 8; 8 = 2(3)+2 = 8
x = 11 --> their current ages are 11 and 22; 2 years ago they were 9 and 20; 20 = 2(9)+2 = 20
x = 35 --> their current ages are 35 and 70; 2 years ago they were 33 and 68; 68 = 2(33)+2 = 68
etc....
RELATED QUESTIONS
Daryl os one-half of her brother's age now. Two years ago, her brother was two more than... (answered by josgarithmetic)
Gabriella’s age is half that of her brother Sam. Four years ago, Gabriella’s age was... (answered by ikleyn)
Irene is two more than thrice her brother's age. Two years ago she was six times older... (answered by ewatrrr)
Sally has two older siblings. Her brother is 2 years older than she is. Her sister is... (answered by josgarithmetic)
Phoebe’s age is 5 more than twice her brother’s age 10 years ago. The sum of their... (answered by trevorgiehl)
Gabriella's age is half that of her brother's age. Four years ago Gabriella's age was a... (answered by josgarithmetic,ikleyn)
a girl is 4 years older than her brother. 2 years ago the sum of their ages was 20. What... (answered by josmiceli)
Sherry is half as old as her mother. Twelve years ago, she was one third of her... (answered by josgarithmetic,MathTherapy)
Ryanne is 14. Her brother’s age is three more than half her age. How old is her... (answered by ikleyn)