Solving a Quadratic Equation by Factorization Method
Rohit says to...
Question
Rohit says to Ajay "Give me a hundred, I shall then become twice as rich as you." Ajay replies "If you give me ten, I shall be six times as rich as you." How much does each have originally?
A
Rohit has Rs. 20 and Ajay has Rs. 90
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B
Rohit has Rs. 50 and Ajay has Rs. 200
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C
Rohit has Rs. 40 and Ajay has Rs. 170
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D
Rohit has Rs. 56 and Ajay has Rs. 190
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Solution
The correct option is C Rohit has Rs. 40 and Ajay has Rs. 170 Letthenumbersbex,w,zandy.2(x−100)=y+100;x+10=6(y−10);x=6y−70;Substitutingthevalueinthe1stequation:2(6y−70−100)=y+100;Therefore:y=40x=170