Question

TUTTI

Answer 1

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