Algebra

Malcolm’s mother is 27 years older than he is and their ages are both two digit numbers. If Malcolm swaps the digits in his age he gets his mother’s age.
a) How old is Malcolm if the sum o the digits in his age is 5?
b) What is the relationship between the digits in Malcolm’s age if the sum of the digits is unknown.
c) If the sum of the digits in Malcolm’s two-digit age is unknown, how many possible ages could he be? What are these ages?

All the solution has to be in algebraic form

  1. 👍
  2. 👎
  3. 👁
  1. a: d+u=5
    10(5-u)+u+27=10u+(5-u)
    u=4
    d=1
    he is 14
    b:9d+27=9u
    c:from 14,25,.. to 69

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    I am three years younger than my brother, and i am 2 years older than my sister. My mom's age is one less than three times my brother's age. When you add all our ages, you get 87. What are our ages?

  2. math

    Richard is 6 years older than Lisa, and in 5 years the sum of their ages will be twice as much as the sum of their ages 4 years ago. Find their present ages.

  3. algebra

    Robert is 15 years older than his sister, Helen. The sum of their ages is 63. Find their ages.

  4. Math

    Jean is seven years older than her brother Bob if he is three years older than their sister Mary. If the sum of their ages is 40 Siri how old is each you must set up an equation, solve and explain each step

  1. Maths ( Higher Level) Simultaneous Equations.

    A mother is x years old, her son is y years old and the sum of theirs ages together is 58 years. Five years ago, the mother was five times as old as the son. Write two equations in x and y and solve them to find the age of their

  2. Math

    A mother is 20 years older than her daughter.if the daughter is y years old. (A) How old is the mother? (B) in terms of y how old was the daughter 4 years ago . (C) In terms of y, how old was the mother 4 years .(I) 4 years ago if

  3. math

    10 years ago simrans mother was 4 times older than her daughter . after 10 years the mother will be twice oder than her daughter . find present age of simran

  4. Simultaneous equation

    Ann is older than Betty. Their ages in years are such that twice the square of Betty's age subtracted from the square of Ann's age gives a number equal to 6 times the difference of their ages. Given also that the sum of their ages

  1. Algebra

    gabriel is 3 years younger than frank. when their ages are doubled frank is 6 years older than gabriel. finally the current total of their ages right now is 17.which of the following could be gabriel's age right now?

  2. Math

    Gabriella is x years old. Her sister, Felicia, is six years older than she is. Their mother is twice as old as Felicia. Their aunt, Tanya, Is x years older that their mother. White and simplify an expression that represents

  3. maths

    A woman is now 4 times older than her daughter.Six years ago,the product of their ages was 136.Find their present ages.

  4. math

    A man is five times older than his son. Four years ago, the product of their ages was 448. Find their present ages. (5x X x) - 4 = 448 x = 9.507

You can view more similar questions or ask a new question.