Home
Class 10
MATHS
Three numbers are in the ratio (1)/(3)...

Three numbers are in the ratio ` (1)/(3) : ( 1)/(5) : ( 1)/(6) ` . If the sum of their squares is 644 , find the numbers.

Text Solution

Verified by Experts

The correct Answer is:
` 20 , 12 , 10`
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    OSWAAL PUBLICATION|Exercise TOPIC -1 ROOTS OF THE EQUATIONS ( LONG ANSWER TYPE QUESTION -II ) |9 Videos
  • QUADRATIC EQUATIONS

    OSWAAL PUBLICATION|Exercise TOPIC -2 Relation between Roots and its Coefficients and Formation of Equations (MULTIPLE CHOICE QUESTIONS |35 Videos
  • QUADRATIC EQUATIONS

    OSWAAL PUBLICATION|Exercise TOPIC -1 ROOTS OF THE EQUATIONS (VERY SHORT ANSWER TYPE QUESTIONS) |20 Videos
  • PROBABILITY

    OSWAAL PUBLICATION|Exercise TEXTBOOK CORNER (EXERCISE 14.2)|4 Videos
  • REAL NUMBERS

    OSWAAL PUBLICATION|Exercise TEXTBOOK CORNER ( EXERCISE 8.4 )|12 Videos

Similar Questions

Explore conceptually related problems

If the sum of two numbers is 18 and the sum of their squares is 290, Find the numbers

Two numbers differ by 2. The sum of their squares is 34. Find the smaller number.

The sum of three numbers in A.P. is 27 and the sum of their squares is 293 . Find the numbers.

Two numbers are in the ratio 5:6. If 8 is subtracted from each of the numbers, the ratio becomes 4 : 5. Find the numbers.

If the continued product of three numbers in GP is 216 and the sum of their products in pairs is 156, then find the sum of three numbers.

Sum of a number and its reciprocal is 5 1/5 . Find the number.

The sum of three numbers in HP is 37 and the sum of their reciprocals is (1)/(4) . Find the numbers.

If the sum of three numbers in A.P., is 24 and their product is 440, find the numbers.

OSWAAL PUBLICATION-QUADRATIC EQUATIONS -TOPIC -1 ROOTS OF THE EQUATIONS ( LONG ANSWER TYPE QUESTION -I )
  1. Shweta takes 6 days less , than the Ankitha to complete the work. The ...

    Text Solution

    |

  2. A concave polygon has 44 diagonals .find the number of sides of the po...

    Text Solution

    |

  3. Aniruddha bought some books for rupes 60 . He had bought 5 more books...

    Text Solution

    |

  4. The ages of Kavya and Karthik are 11 years and 14 years respectively. ...

    Text Solution

    |

  5. The age of a man is twice the square of the age of his son . After eig...

    Text Solution

    |

  6. Mohan had brought certain number of books for rupes 48, If he had bo...

    Text Solution

    |

  7. Three numbers are in the ratio (1)/(3) : ( 1)/(5) : ( 1)/(6) . If t...

    Text Solution

    |

  8. If the sum of two numbers is 18 and the sum of their squares is 290, ...

    Text Solution

    |

  9. A motor boat , whose speed is 15 km /hr in still water goes 30 km dow...

    Text Solution

    |

  10. Solve the equation by using formula x^(2) - 8x+ 1=0 .

    Text Solution

    |

  11. By selling an article for rupees 18. 74 a dealer loses as much percen...

    Text Solution

    |

  12. the perimeter of a right angled triangle is 30 cm and its hypotenuse i...

    Text Solution

    |

  13. If the square of number is added to 3 times the number , the sum is ...

    Text Solution

    |

  14. Solve : ( 4)/( m+ 2) - (1)/( m+3) = (4)/( 2m +1)

    Text Solution

    |

  15. The base of a triangle is 4 cm , longer than its altitude . If the are...

    Text Solution

    |

  16. Solve the following quadratic equation by using the formula method: ...

    Text Solution

    |

  17. Find two conecutive positive odd number such that the sum of their squ...

    Text Solution

    |

  18. Find the whole number such that four times the number subtracted from ...

    Text Solution

    |