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Average of two natural numbers is 5 greater than one of the numbers. If the quotient ofnumbers is 2, what are the numbers? |
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Answer» Answers   Chbilalakbar Ambitious Answer:First natural number is 10 and second is 20Explanation:Let x and y be natural numbers such that x is less then y According to given conditionAverage of x and y = (x + y)/2 = x + 5 ..... (1)Ratio of numbers = y/x = 2 ..... (2)⇒ y=2x .....(3) using equation (3) in (1) we get (x + 2x)/2 = x + 5 Multiplying by 2 on both sides x+2x=2x+10 Subtracting 2x from both sides x=10and using x=10 in equation (3) we get y=2(10)=20Hence First natural number is 10 and second is 20 Let x and y be natural numbers such that x is less then y average of x and y = (x + y)/2 = x + 5 ..... (1) ER. RAVI KUMAR ROY Ratio of numbers = y/x = 2 ..... (2) ⇒ y=2x .....(3)using equation (3) in (1) we get (x + 2x)/2 = x + 5 Multiplying by 2 on both sides x+2x=2x+10 Subtracting 2x from both sides x=10 and using x=10 in equation (3) we get y=2(10)=20 Hence First natural number is 10 and second is 20.. |
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