SOLUTION: Tony is 6 years older than his brother. 4 years ago, he was twice as old How old is Tony How old is his brother

Question 8276: Tony is 6 years older than his brother. 4 years ago, he was twice as old
How old is Tony
How old is his brother
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Let T = Tony's age now and B = his brother's age now.
T = B + 6 Tony is 6 years older than his brother.
T - 4 = 2(B - 4) Tony's age 4 years ago (T-4) was twice his brother's age (2(B-4))
Substitute T = B + 6 into the second equation, simplify and solve for B.
(B + 6)-4 = 2(B - 4)
B + 2 = 2B - 8 Subtract B from both sides.
2 = B - 8 Add 8 to both sides.
B = 10 His brother's age is 10 years.
T = B + 6 = 10 + 6 = 16 Tony's age is 16 years.
RELATED QUESTIONS
five years ago, ron was three times as old as his brother tony. in 10 years, he will be... (answered by josgarithmetic)

John is 6 years older than his brother. He will be twice as old as his brother in 4... (answered by mananth)

John is 6 years older than his brother. He will be twice as old as his brother in 4... (answered by josmiceli)

Jan is 6 years older than his brother. He will be twice as old as his brother in 4 years. (answered by Alan3354)

John is 6 years older than his brother. He will be twice as old as his brother in 4... (answered by macston)

Sam is 8 years older than his brother. Seven years ago, Sam was twice as old as his... (answered by macston)

Five years ago, Sean was three times as old as his brother. Today Sean is twice as old as (answered by Earlsdon)

Five years ago, roel was three times old as his brother tony. In 10 years, he will be 10... (answered by josgarithmetic)

Tony is 5 years older than his sister. In 3 years he will be twice as oldas she is. How... (answered by Maths68)