age word problems

  1. math_celebrity

    A boy is 6 years younger than his sister. If he is (x-9) years old, how long will it take for his si

    A boy is 6 years younger than his sister. If he is (x-9) years old, how long will it take for his sister to be x years old? If the boy is x - 9 years old, and he's 6 years younger than his sister, than the sister is older by 6 years. Sister's Age = x - 9 + 6 Sister's Age = x - 3 In order to be...
  2. math_celebrity

    A man's age (a) 10 years ago is 43

    A man's age (a) 10 years ago is 43 10 years ago means we subtract 10 from a: a - 10 The word is means an equation. So we set a - 10 equal to 43 to get our algebraic expression a - 10 = 43 If the problem asks you to solve for a, we type this equation into our search engine and we get: a = 53
  3. math_celebrity

    71 es la suma de 16 y la edad de Donnie

    71 es la suma de 16 y la edad de Donnie Deje que la edad de Donnie sea d. La suma de d y 16 es: d + 16 Es igual a. Así que establecemos d + 16 igual a 71 d + 16 = 71
  4. math_celebrity

    Sam is 52 years old. This is 20 years less than 3 times the age of John. How old is John

    Sam is 52 years old. This is 20 years less than 3 times the age of John. How old is John Let John's age be j. We're given the following equation: 3j - 20 = 52 (Less than means we subtract) To solve for j, we type this equation into our search engine and we get: j = 24
  5. math_celebrity

    Sherry is 31 years younger than her mom. The sum of their ages is 61. How old is Sherry?

    Sherry is 31 years younger than her mom. The sum of their ages is 61. How old is Sherry? Let Sherry's age be s. Let the mom's age be m. We're given two equations: s = m - 31 m + s = 61 Substitute equation (1) into equation (2) for s: m + m - 31 = 61 To solve for m, we type this equation into...
  6. math_celebrity

    Bill is q years old. How old will he in 6 years ? How old was he 4 years ago ?

    Bill is q years old. How old will he in 6 years ? How old was he 4 years ago ? Start with q years old. In 6 years means we add since it's the future: q + 6 4 years ago means we subtract since it's in the past: q - 4
  7. math_celebrity

    Bob is twice as old as Henry. The sum of their ages is 42. How old is Henry?

    Bob is twice as old as Henry. The sum of their ages is 42. How old is Henry? Let Bob's age be b. Let Henry's age be h. We're given two equations: b = 2h b + h = 42 Substitute b = 2h in equation 1 into equation 2 for b: 2h + h = 42 To solve for h, we type this equation into our search engine...
  8. math_celebrity

    A class has 35 boys and girls. There are 7 more girls than boys. Find the number of girls and boys i

    A class has 35 boys and girls. There are 7 more girls than boys. Find the number of girls and boys in the class Let the number of boys be b and the number of girls be g. We're given two equations: b + g = 35 g = b + 7 (7 more girls means we add 7 to the boys) To solve for b, we substitute...
  9. math_celebrity

    The age of woman 15 years ago

    The age of woman 15 years ago Let a be the woman's age today. 15 years ago means we subtract 15 from a: a - 15
  10. math_celebrity

    Martha is 18 years older than Harry. Their ages add to 106. Write an equation and solve it to find t

    Martha is 18 years older than Harry. Their ages add to 106. Write an equation and solve it to find the ages of Martha and Harry. Let m be Martha's age. Let h be Harry's age. We're given two equations: m = h + 18 (older means we add) h + m = 106 Substitute equation (1) into equation (2) for m...
  11. math_celebrity

    The sum of the ages of levi and renee is 89 years. 7 years ago levi's age was 4 times renees age. Ho

    The sum of the ages of levi and renee is 89 years. 7 years ago levi's age was 4 times renees age. How old is Levi now? Let Levi's current age be l. Let Renee's current age be r. Were given two equations: l + r = 89 l - 7 = 4(r - 7) Simplify equation 2 by multiplying through: l + r = 89 l - 7...
  12. math_celebrity

    John's age 4 years ago, if he will be y years old in 5 years.

    John's age 4 years ago, if he will be y years old in 5 years. Josh's age now is y - 5 Josh's age 4 years ago is y - 5 - 4 = y - 9
  13. math_celebrity

    Logan is 8 years older than 4 times the age of his nephew. Logan is 32 years old. How old is his nep

    Logan is 8 years older than 4 times the age of his nephew. Logan is 32 years old. How old is his nephew? Let the age of Logan's nephew be n. We're given: 4n + 8 = 32 (Since older means we add) To solve this equation for n, we type it into our search engine and we get: n = 6
  14. math_celebrity

    Mary is x years old. How old will she be in 9 years? How old was she 8 years ago

    Mary is x years old. How old will she be in 9 years? How old was she 8 years ago In 9 years, we add, since her age goes up, so she'll be: x + 9 8 years ago, we subtract, since her age goes down, so she'll be: x - 8
  15. math_celebrity

    Cam is 3 years older than Lara. If their combined age is 63, determine their ages by solving an appr

    Cam is 3 years older than Lara. If their combined age is 63, determine their ages by solving an appropriate pair of equations. Let Cam's age be c. Let Lara's age be l. We're given two equations: c = l + 3 <-- older means we add c + l = 63 <-- combined ages mean we add Substitute equation...
  16. math_celebrity

    My brother is x years old. I am 5 years older than him. Our combined age is 30 years old. How old is

    My brother is x years old. I am 5 years older than him. Our combined age is 30 years old. How old is my brother Brother's age is x: I am 5 years older, meaning I'm x + 5: The combined age is found by adding: x + (x + 5) = 30 Group like terms: 2x + 5 = 30 To solve for x, type this equation...
  17. math_celebrity

    John is n years old now. How old was he 10 years ago? What will be his age in 20 years time?

    John is n years old now. How old was he 10 years ago? What will be his age in 20 years time? 10 years ago means we subtract 10 from n: n - 10 20 years time or 20 years from now means we add 20 to n: n + 20
  18. math_celebrity

    1 year from now Paul will be 49 years old. The current sum of the ages of Paul and Sharon is 85. How

    1 year from now Paul will be 49 years old. The current sum of the ages of Paul and Sharon is 85. How old is Sharon right now? If Paul will be 49 years old 1 year from now, this means today, he is 49 - 1 = 48 years old. Let Sharon's age be s. Then from the current sum of Paul and Sharon's ages...
  19. math_celebrity

    If Susie is 14, what was her age x years ago?

    If Susie is 14, what was her age x years ago? x years ago means we subtract x from 14: 14 - x
  20. math_celebrity

    Max's age is 2 more than his fathers age divided by 4. Max is 13 years old. How old is his dad?

    Max's age is 2 more than his fathers age divided by 4. Max is 13 years old. How old is his dad? Let Max's father be age f. We're given: (f + 2)/4 = 13 Cross Multiply: f + 2 = 52 Typing this equation into the search engine, we get: f = 50
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