posted by .

bill is 2 years older than ted. in 5 years, 5 times ted's age will be 4 times bill's age. how old is ted?

  • math -

    bill is 2 years older than ted. in 5 years, 5 times ted's age will be 4 times bill's age. how old is ted?

    B = T + 2
    4(B + 2) = 5(T + 2)

    Can you take it from here.

  • math -

    let x=Bill's age, y=Ted's age

    Bill is two years older than Ted. This gives the first equation:

    In 5 years, their ages will be:
    Bill=(x+5), Ted=(y+5)

    4*Bill's age=5*Ted's age

    Use the first equation to substitute for y in the second equation. Then, you will only have x's. Solve for x. Plug the solved value for x into the first equation to easily find y.

  • math -

    Bill is 2 years older than ted
    (1) b = t + 2
    where b = bill's age TODAY and t = ted's age TODAY

    In 5 years 5 times ted's age will be 4 times bill's age:

    (2) 5(t+5) = 4(b+5)

    Put equation (1) into (2) for b.

    5(t+5) = 4(t+2+5) ==> 5t+25 = 4t+28
    solve for t to get t = 3

    So ted is 3 and bill is 5 years old.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    bill and ted combined age is 40. Eight years ago, bill was 2 years younger than ted is now. how old is bill now?
  2. math

    A. Brad is 12 years older than Sam . If Brad were 8 years older than he is now. he would be twice as old as Sam. How old is Sam now?
  3. math

    A. A woman was 30 years old when her daughter was born.Her age is now 6 years more than three times her daughter's age. How old will the daughter be in 5 years?
  4. math

    A. John is now 10 years older than Marcus. Three times John's age 5 years from now will be the same as five times Marcus's age 5 years ago. How old is John now?
  5. English

    1. Ted is 2 years older than Bill. 2. Ted is 5 centimeters taller than Bill. 3. Ted is 10 kilograms heavier than Bill. (Are they all grammatical?
  6. Maths

    Fred is 10 yrs older than Ted. In 3 yrs time Fred will be 3 times as old as Ted. Let Fred be x yrs old now. Write an equation to represent this situation. Solve equation and state how old each person is now.
  7. math

    Four brothers in one family have a combined age of 39 years. Alan is three times collins age, bill is 6 years younger than Alan and don is a quarter of bills age. How old are each of the four browser
  8. Algebra

    The sum of the ages of Dave and Ted is 48. Eight years from now, Ted will be 3x Dave's age. Find their present age.
  9. math

    ted Williams made deposits of 500.00 at the end of each year for eight years. the rat is 8% compounded annually. calculate the value of ted's annuity at the end of eight years
  10. math

    Uncle Bill is 6 times as old as John and he will be 4 times as old as John in 4 years' time. If Uncle Bill is less than 60 years of age, how old will he be in 6 years' time?

More Similar Questions