Home
Class 10
MATHS
Determine their present ages. The sum of...

Determine their present ages. The sum of the ages of two friends is 20 years. Four years ago, the product of their ages in years was 48.

Text Solution

AI Generated Solution

To solve the problem of determining the present ages of two friends given the conditions, we can follow these steps: ### Step 1: Define the Variables Let the present age of the first friend be \( x \) years and the present age of the second friend be \( y \) years. ### Step 2: Set Up the Equations From the problem, we know: 1. The sum of their ages is 20 years: ...
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    NCERT ENGLISH|Exercise Exercise 15.2|5 Videos
  • REAL NUMBERS

    NCERT ENGLISH|Exercise EXERCISE 1.3|3 Videos

Similar Questions

Explore conceptually related problems

The sum of the ages of father and his son is 45 years . 5 years ago the products of their ages was 124. Find the present ages .

The sum of ages of a boy and his brother is 25 years, and the product of their ages in years is 126. Find their ages.

The sum of the age of Vivek and his younger brother Amit is 47 years. The product of their ages in years is 550. Find their ages.

The ratio of the ages of Riti and Nakul is 2:3. Eight years ago, the ratio of their ages was 2:5. Find! their present ages.

The sum of the ages of a man and his son is 45 years. Five years ago, the product of their ages was four times the man’s age at the time. Find their present ages.

The ratio of the ages of Riti and Arya is 3:8. Eight years ago, the ratio of their ages was 1:6. Find their present ages.

A girl is twice as old as her sister. Four years hence, the product of their ages (in years) will be 160. Find their present ages.

The ratio of the ages of Arvind and Renu is 3:5. Five years hence, the ratio of their ages will be 4:5. Find their present ages.

The sum of ages of father and his son is 75 years. If the age of the son is 25 years, find the age of the father.

The present ages of Renu and Ravi are in the ratio 5: 6. The sum of their present ages is 44 in years. The difference of their ages (in years) is (a)4 (b) 5 (c) 8 (d) 2

NCERT ENGLISH-QUADRATIC EQUATIONS-All Questions
  1. Find the roots of the equation 2x^2-5x+3=0, by factorisation.

    Text Solution

    |

  2. Check whether the following are quadratic equations : (i) (x-2)^2+1=...

    Text Solution

    |

  3. Sum of the areas of two squares is 468\ m^2. If the difference of thei...

    Text Solution

    |

  4. An express train takes 1 hour less than a passenger train to travel 1...

    Text Solution

    |

  5. Determine their present ages. The sum of the ages of two friends is 2...

    Text Solution

    |

  6. Find two numbers whose sum is 27 and product is 182.

    Text Solution

    |

  7. Represent the following situations mathematically: (i) John and Jiva...

    Text Solution

    |

  8. Find the roots of the following quadratic equations by factorisation:...

    Text Solution

    |

  9. A cottage industry produces a certain number of pottery articles in a...

    Text Solution

    |

  10. The altitude of a right triangle is 7 cm less than its base. If the h...

    Text Solution

    |

  11. Find two consecutive positive integers, sum of whose squares are 365.

    Text Solution

    |

  12. A rectangular park is to be designed whose breadth is 3 m less than ...

    Text Solution

    |

  13. Find the roots of the following quadratic equations, if they exist, u...

    Text Solution

    |

  14. Solve Question 2(i) of Exercise 1 by using the quadratic formula. (i...

    Text Solution

    |

  15. Find two consecutive odd positive integers, sum of whose squares is ...

    Text Solution

    |

  16. Find the discriminant of the quadratic equation 2x^2-4x+3=0, and henc...

    Text Solution

    |

  17. A pole has to be erected at a point on the boundary of a circular par...

    Text Solution

    |

  18. Find the roots of the following equations : (i) x+1/x=3, x!=0 (ii)...

    Text Solution

    |

  19. A motor boat whose speed is 18 km/h m still water takes 1 hour more...

    Text Solution

    |

  20. Find the discriminant of the equation 3x^2-2x+1/3=0and hence find the...

    Text Solution

    |