NumericalHard4 marks
The difference of two natural numbers is 5 and sum of their reciprocals is 3/10 . Find the two numbers.
Topic: Quadratic word problems
Previous-year question practice database
Answer
Exam answer
The two natural numbers are 10 and 5.
Explanation
Let larger x and smaller y. x−y=5 and 1/x+1/y=3/10. Substituting x=y+5 gives solutions y=5, x=10.
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