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Pablo is four yrs older than his sister. The product of their ages is 21. Determine their aged.
Mathematics
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Step-by-step solution
6 stepsHere's the solution to the problem:
Define variables for the ages.
Let be Faith's age.
Let be Nabil's age.Formulate equations based on the given information.
"Nabil is four years older than his sister Faith":
"The product of their ages is 21":
Substitute the first equation into the second to form a quadratic equation.
Substitute into :
Solve the quadratic equation for Faith's age.
Factor the quadratic equation:
This gives two possible solutions for :
Since age cannot be negative, Faith's age is years.
Determine Nabil's age.
Using the equation :
Nabil's age is 7 years.
State their ages.
Faith's age is 3 years and Nabil's age is 7 years.
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