TUTTI Jaime is 3 years older than Crystal. Marissa is twice as old Jaime. The sum of their ages is 45. How old is each

Question

TUTTI
Jaime is 3 years older than Crystal.
Marissa is twice as old Jaime. The sum
of their ages is 45. How old is each
person?
a) Define a variable:
b) Write an equation.
c) Solve the equation.
d) Answer what is being asked in a
complete sentence.

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Gia Bảo 6 months 2021-08-10T20:19:19+00:00 1 Answers 4 views 0

Answers ( )

    0
    2021-08-10T20:20:55+00:00

    Answer:

    See Explanation

    Step-by-step explanation:

    Solving (a): The Variables

    The variables are the ages of Jaime, Crystal and Marissa;

    Let

    x represents Jaime’s age;

    y represents Crystal’s age;

    z represents Marissa’s age

    Solving (b): Equation

    x = 3 + y

    z = 2x

    x + y + z = 45

    Solving (c): Result of the equations

    x = 3 + y — (1)

    z = 2x — (2)

    x + y + z = 45 — (3)

    Make y the subject in (1)

    y = x - 3

    Substitute y = x - 3 and z = 2x in (3)

    x + y + z = 45

    x + x - 3 + 2x = 45

    Collect Like Terms

    x + x + 2x = 45 + 3

    4x= 48

    Solve for x

    x = 48/4

    x = 12

    Substitute x = 12 in y = x - 3 and z = 2x

    y = x - 3

    y= 12 - 3

    y = 9

    z = 2x

    z = 2 * 12

    z = 24

    This implies that;

    Jaime is 12; Crystal is 9 and Marissa is 24 years old

    Solving (d): Essence of the question

    The question asks that we solve for the ages of Jaime, Crystal and Marissa

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