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2 answers:
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The age of Sari is 8 years.
The age of Justin is 9 years.
Explanation:
Let x denote the age of Justin.
Let y denote the age of Sari.
Given that the product of their age is 72.
Thus, it can be written in equation as
Since, the numbers x and y are consecutive integers and Justin is older, then, it can be written as,
Therefore, the two equations are and
<u>The ages of Sari and Justin:</u>
The ages of Sari and Justin can be determined by solving the two equations.
Let us solve the equations using substitution method.
Substituting in the equation
, we have;
Factoring the equation, we get;
The value of y cannot be negative.
Thus, is the value of y.
Substituting in the equation
, we have;
Thus, the value of x is 9.
Therefore, the age of Sari is 8 years and the age of Justin is 9 years.