NumericalHard4 marks
The sum of the ages of Vivek and his younger brother Amit is 47 years. The product of their ages in years is 550. Find their ages.
Topic: Quadratic equations
Previous-year question practice database
Answer
Exam answer
Let the ages be x and y.
x+y = 47 xy = 550.
So x and y are roots of: t² − 47t + 550 = 0.
(t−25)(t−22)=0.
Therefore the ages are 25 years and 22 years.
Answer: Vivek = 25 years, Amit = 22 years.
Explanation
The sum and product of the two ages give a quadratic whose roots are the ages. The elder brother is Vivek.
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